Search a number
-
+
12911223797541 = 3441269110313103
BaseRepresentation
bin1011101111100010000011…
…1010000111011100100101
31200201022010101102011210000
42323320200322013130211
53143014141243010131
643243200114251513
72501543106336606
oct273704072073445
950638111364700
1012911223797541
11412868a269933
121546346886b99
137286a55703c4
14328c9988ddad
15175cb5996ce6
hexbbe20e87725

12911223797541 has 80 divisors (see below), whose sum is σ = 19850496906240. Its totient is φ = 8358103307520.

The previous prime is 12911223797531. The next prime is 12911223797543. The reversal of 12911223797541 is 14579732211921.

It is a happy number.

12911223797541 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 1 + 2 + 2 + 3 + 7 + 97 + 541 = 666.

It is not a de Polignac number, because 12911223797541 - 29 = 12911223797029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12911223797543) 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 79 ways as a sum of consecutive naturals, for example, 985357396 + ... + 985370498.

It is an arithmetic number, because the mean of its divisors is an integer number (248131211328).

Almost surely, 212911223797541 is an apocalyptic number.

It is an amenable number.

12911223797541 is a deficient number, since it is larger than the sum of its proper divisors (6939273108699).

12911223797541 is a wasteful number, since it uses less digits than its factorization.

12911223797541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14528 (or 14519 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 12911223797541 in words is "twelve trillion, nine hundred eleven billion, two hundred twenty-three million, seven hundred ninety-seven thousand, five hundred forty-one".

Divisors: 1 3 9 27 41 81 123 269 369 807 1103 1107 2421 3309 3321 7263 9927 11029 13103 21789 29781 33087 39309 45223 89343 99261 117927 135669 296707 297783 353781 407007 537223 890121 893349 1061343 1221021 1611669 2670363 3524707 3663063 4835007 8011089 10574121 12164987 14452609 14505021 24033267 31722363 36494961 43357827 43515063 95167089 109484883 130073481 144512987 285501267 328454649 390220443 433538961 592556969 985363947 1170661329 1300616883 1777670907 3887751821 3901850649 5333012721 11663255463 11705551947 15999038163 34989766389 47997114489 104969299167 159397824661 314907897501 478193473983 1434580421949 4303741265847 12911223797541