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10202012012122 = 2731910135921587
BaseRepresentation
bin1001010001110101011101…
…0011010100111001011010
31100010022011202110202002021
42110131113103110321122
52314122210033341442
633410423431325054
72102033240203000
oct224352723247132
940108152422067
1010202012012122
1132837158a6757
12118927522078a
135900792693c8
14273acc514a70
1512a59ed4de67
hex947574d4e5a

10202012012122 has 128 divisors (see below), whose sum is σ = 19025072640000. Its totient is φ = 4089545409600.

The previous prime is 10202012012113. The next prime is 10202012012123. The reversal of 10202012012122 is 22121021020201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10202012012096 and 10202012012105.

It is not an unprimeable number, because it can be changed into a prime (10202012012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472589013 + ... + 472610599.

It is an arithmetic number, because the mean of its divisors is an integer number (148633380000).

Almost surely, 210202012012122 is an apocalyptic number.

10202012012122 is a deficient number, since it is larger than the sum of its proper divisors (8823060627878).

10202012012122 is a wasteful number, since it uses less digits than its factorization.

10202012012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22089 (or 22075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10202012012122 its reverse (22121021020201), we get a palindrome (32323033032323).

The spelling of 10202012012122 in words is "ten trillion, two hundred two billion, twelve million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 14 19 38 49 98 101 133 202 266 343 359 686 707 718 931 1414 1862 1919 2513 3838 4949 5026 6517 6821 9898 13034 13433 13642 17591 21587 26866 34643 35182 36259 43174 47747 69286 72518 94031 95494 123137 151109 188062 246274 253813 302218 334229 410153 507626 658217 668458 688921 820306 1057763 1316434 1377842 1776691 2115526 2180287 2339603 2871071 3553382 4360574 4679206 4822447 5742142 7404341 7749733 9644894 12436837 14808682 15262009 15499466 20097497 24873674 30524018 33757129 40194994 41425453 54248131 67514258 82850906 106834063 108496262 140682479 147244927 213668126 236299903 281364958 289978171 294489854 379736917 472599806 579956342 747838441 759473834 782723033 1030714489 1495676882 1565446066 2029847197 2061428978 2658158419 4059694394 5316316838 5479061231 7215001423 10958122462 14208930379 14430002846 14871737627 28417860758 29743475254 38353428617 50505009961 76706857234 101010019922 104102163389 208204326778 268474000319 536948000638 728715143723 1457430287446 5101006006061 10202012012122