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13100020012212 = 2237246355786389
BaseRepresentation
bin1011111010100001011000…
…0010100001010010110100
31201101100102220210121010020
42332220112002201102310
53204112320110342322
643510022140325140
72521305464566500
oct276502602412264
951340386717106
1013100020012212
1141a0761864311
121576a562437b0
137404326839b3
143340899b5300
1517ab6552605c
hexbea160a14b4

13100020012212 has 144 divisors (see below), whose sum is σ = 35698382657280. Its totient is φ = 3728030600448.

The previous prime is 13100020012129. The next prime is 13100020012217. The reversal of 13100020012212 is 21221002000131.

It is a super-2 number, since 2×131000200122122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100020012191 and 13100020012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100020012217) by changing a digit.

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, 151596714 + ... + 151683102.

It is an arithmetic number, because the mean of its divisors is an integer number (247905435120).

Almost surely, 213100020012212 is an apocalyptic number.

13100020012212 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 13100020012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849191328640).

13100020012212 is an abundant number, since it is smaller than the sum of its proper divisors (22598362645068).

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

13100020012212 is a wasteful number, since it uses less digits than its factorization.

13100020012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87430 (or 87421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13100020012212 its reverse (21221002000131), we get a palindrome (34321022012343).

The spelling of 13100020012212 in words is "thirteen trillion, one hundred billion, twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 463 557 588 926 1114 1389 1671 1852 2228 2778 3241 3342 3899 5556 6482 6684 7798 9723 11697 12964 15596 19446 22687 23394 27293 38892 45374 46788 54586 68061 81879 86389 90748 109172 136122 163758 172778 257891 259167 272244 327516 345556 515782 518334 604723 773673 1031564 1036668 1209446 1547346 1805237 1814169 2418892 3094692 3610474 3628338 4233061 5415711 7220948 7256676 8466122 10831422 12636659 12699183 16932244 21662844 25273318 25398366 37909977 39998107 48118673 50546636 50796732 75819954 79996214 96237346 119994321 144356019 151639908 159992428 192474692 239988642 279986749 288712038 336830711 479977284 559973498 577424076 673661422 839960247 1010492133 1119946996 1347322844 1679920494 1959907243 2020984266 2357814977 3359840988 3919814486 4041968532 4715629954 5879721729 7073444931 7839628972 9431259908 11759443458 14146889862 22278945599 23518886916 28293779724 44557891198 66836836797 89115782396 133673673594 155952619193 267347347188 311905238386 467857857579 623810476772 935715715158 1091668334351 1871431430316 2183336668702 3275005003053 4366673337404 6550010006106 13100020012212