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12210034213431 = 3231533674495011
BaseRepresentation
bin1011000110101101111011…
…0000001000001000110111
31121020021020021111122102100
42301223132300020020313
53100022122224312211
641545113504113143
72400101013246045
oct261533660101067
947207207448370
1012210034213431
113988278aa907a
1214524779057b3
136a752a817c52
14302d7c5ab395
15162927260156
hexb1adec08237

12210034213431 has 96 divisors (see below), whose sum is σ = 18644832460800. Its totient is φ = 7689049804800.

The previous prime is 12210034213423. The next prime is 12210034213439. The reversal of 12210034213431 is 13431243001221.

12210034213431 is a `hidden beast` number, since 1 + 2 + 2 + 10 + 0 + 3 + 4 + 213 + 431 = 666.

It is an interprime number because it is at equal distance from previous prime (12210034213423) and next prime (12210034213439).

It is not a de Polignac number, because 12210034213431 - 23 = 12210034213423 is a prime.

It is a super-2 number, since 2×122100342134312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210034213395 and 12210034213404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210034213439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2436643716 + ... + 2436648726.

It is an arithmetic number, because the mean of its divisors is an integer number (194217004800).

Almost surely, 212210034213431 is an apocalyptic number.

12210034213431 is a deficient number, since it is larger than the sum of its proper divisors (6434798247369).

12210034213431 is a wasteful number, since it uses less digits than its factorization.

12210034213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12210034213431 its reverse (13431243001221), we get a palindrome (25641277214652).

The spelling of 12210034213431 in words is "twelve trillion, two hundred ten billion, thirty-four million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 31 53 93 159 279 367 449 477 1101 1347 1643 3303 4041 4929 5011 11377 13919 14787 15033 19451 23797 34131 41757 45099 58353 71391 102393 125271 155341 164783 175059 214173 265583 466023 494349 602981 737707 796749 1398069 1483047 1808943 1839037 2213121 2249939 2390247 5108273 5426829 5517111 6639363 6749817 8233073 8733499 15324819 16551333 20249451 24699219 26200497 45974457 57010147 69748109 74097657 78601491 97468961 119246767 171030441 209244327 270738469 292406883 357740301 513091323 627732981 812215407 825727613 877220649 1073220903 2436646221 2477182839 3021537791 3696649777 7431548517 9064613373 11089949331 25597556003 27193840119 33269847993 43763563489 76792668009 131290690467 230378004027 393872071401 1356670468159 4070011404477 12210034213431