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110000020000212 = 223273239557314423
BaseRepresentation
bin11001000000101101100000…
…000111100000110111010100
3112102110220021112011220020200
4121000231200013200313110
5103404220020110001322
61025541151144300500
732112145016516316
oct3100554007406724
9472426245156220
10110000020000212
113205a8236606a1
12104068a8171730
13494bc5a4849c4
141d2405a8697b6
15cab5463638ac
hex640b601e0dd4

110000020000212 has 144 divisors (see below), whose sum is σ = 283552996446720. Its totient is φ = 35948304935424.

The previous prime is 110000020000187. The next prime is 110000020000249. The reversal of 110000020000212 is 212000020000011.

110000020000212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000020000194 and 110000020000203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349690033 + ... + 350004455.

It is an arithmetic number, because the mean of its divisors is an integer number (1969118030880).

Almost surely, 2110000020000212 is an apocalyptic number.

110000020000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110000020000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141776498223360).

110000020000212 is an abundant number, since it is smaller than the sum of its proper divisors (173552976446508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110000020000212 is a wasteful number, since it uses less digits than its factorization.

110000020000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315302 (or 315297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110000020000212 its reverse (212000020000011), we get a palindrome (322000040000223).

The spelling of 110000020000212 in words is "one hundred ten trillion, twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 239 292 438 478 557 657 717 876 956 1114 1314 1434 1671 2151 2228 2628 2868 3342 4302 5013 6684 8604 10026 17447 20052 34894 40661 52341 69788 81322 104682 121983 133123 157023 162644 209364 243966 266246 314046 314423 365949 399369 487932 532492 628092 628846 731898 798738 943269 1198107 1257692 1463796 1597476 1886538 2396214 2829807 3773076 4792428 5659614 9717979 11319228 19435958 22952879 29153937 38871916 45905758 58307874 68858637 75147097 87461811 91811516 116615748 137717274 150294194 174923622 175133611 206575911 225441291 275434548 300588388 349847244 350267222 413151822 450882582 525400833 676323873 700534444 826303644 901765164 1050801666 1352647746 1576202499 2101603332 2705295492 3152404998 5485738081 6304809996 10971476162 12784753603 16457214243 21942952324 25569507206 32914428486 38354260809 41856933029 49371642729 51139014412 65828856972 76708521618 83713866058 98743285458 115062782427 125570799087 153417043236 167427732116 197486570916 230125564854 251141598174 376712397261 460251129708 502283196348 753424794522 1506849589044 3055556111117 6111112222234 9166668333351 12222224444468 18333336666702 27500005000053 36666673333404 55000010000106 110000020000212