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10000102212 = 223541349719
BaseRepresentation
bin10010101000000110…
…10111001101000100
3221210220221211100000
421110003113031010
5130440011232322
64332144521300
7502545315642
oct112403271504
927726854300
1010000102212
114271884891
121b31020230
13c34a24b59
146ac18c192
153d7dcd3ac
hex2540d7344

10000102212 has 144 divisors (see below), whose sum is σ = 26968032000. Its totient is φ = 3238237440.

The previous prime is 10000102201. The next prime is 10000102241. The reversal of 10000102212 is 21220100001.

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 = 10000102194 and 10000102203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13907989 + ... + 13908707.

It is an arithmetic number, because the mean of its divisors is an integer number (187278000).

Almost surely, 210000102212 is an apocalyptic number.

10000102212 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 10000102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484016000).

10000102212 is an abundant number, since it is smaller than the sum of its proper divisors (16967929788).

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

10000102212 is a wasteful number, since it uses less digits than its factorization.

10000102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

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

Adding to 10000102212 its reverse (21220100001), we get a palindrome (31220202213).

The spelling of 10000102212 in words is "ten billion, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 349 369 486 492 698 719 738 972 1047 1107 1396 1438 1476 2094 2157 2214 2876 3141 3321 4188 4314 4428 6282 6471 6642 8628 9423 9963 12564 12942 13284 14309 18846 19413 19926 25884 28269 28618 29479 37692 38826 39852 42927 56538 57236 58239 58958 77652 84807 85854 88437 113076 116478 117916 128781 169614 171708 174717 176874 232956 250931 257562 265311 339228 349434 353748 386343 501862 515124 530622 698868 752793 772686 795933 1003724 1061244 1159029 1505586 1545372 1591866 2258379 2318058 2387799 3011172 3183732 3477087 4516758 4636116 4775598 6775137 6954174 7163397 9033516 9551196 10288171 13550274 13908348 14326794 20325411 20576342 27100548 28653588 30864513 40650822 41152684 60976233 61729026 81301644 92593539 121952466 123458052 185187078 243904932 277780617 370374156 555561234 833341851 1111122468 1666683702 2500025553 3333367404 5000051106 10000102212