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126056121401 = 74315122312437
BaseRepresentation
bin111010101100110000…
…1111100010000111001
3110001101001211110021002
41311121201330100321
54031130331341101
6133524232054345
712051534232010
oct1653141742071
9401331743232
10126056121401
1149507437831
122051bb343b5
13bb6baa2862
14615b7a3a77
15342b9c6d6b
hex1d5987c439

126056121401 has 32 divisors (see below), whose sum is σ = 149068136448. Its totient is φ = 104357937600.

The previous prime is 126056121397. The next prime is 126056121421. The reversal of 126056121401 is 104121650621.

It is not a de Polignac number, because 126056121401 - 22 = 126056121397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126056121421) 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 31 ways as a sum of consecutive naturals, for example, 10129355 + ... + 10141791.

It is an arithmetic number, because the mean of its divisors is an integer number (4658379264).

Almost surely, 2126056121401 is an apocalyptic number.

It is an amenable number.

126056121401 is a deficient number, since it is larger than the sum of its proper divisors (23012015047).

126056121401 is a wasteful number, since it uses less digits than its factorization.

126056121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12861.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 126056121401 in words is "one hundred twenty-six billion, fifty-six million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 7 43 151 223 301 1057 1561 6493 9589 12437 33673 45451 67123 87059 235711 534791 1447939 1877987 2773451 3743537 10135573 13145909 19414157 80753441 119258393 418791101 565274087 834808751 2931537707 18008017343 126056121401