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12321541401 = 31321719671123
BaseRepresentation
bin10110111100110101…
…11100110100011001
31011210201011011020020
423132122330310121
5200213303311101
65354353221053
7614224242141
oct133632746431
934721134206
1012321541401
115253209474
12247a561789
131214965500
1484c5db921
154c1ad7136
hex2de6bcd19

12321541401 has 96 divisors (see below), whose sum is σ = 20141360640. Its totient is φ = 6654016512.

The previous prime is 12321541391. The next prime is 12321541429. The reversal of 12321541401 is 10414512321.

It is not a de Polignac number, because 12321541401 - 25 = 12321541369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12321541901) 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, 10971426 + ... + 10972548.

It is an arithmetic number, because the mean of its divisors is an integer number (209805840).

Almost surely, 212321541401 is an apocalyptic number.

It is an amenable number.

12321541401 is a deficient number, since it is larger than the sum of its proper divisors (7819819239).

12321541401 is a wasteful number, since it uses less digits than its factorization.

12321541401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 12321541401 in words is "twelve billion, three hundred twenty-one million, five hundred forty-one thousand, four hundred one".

Divisors: 1 3 13 17 19 39 51 57 67 169 201 221 247 323 507 663 741 871 969 1123 1139 1273 2613 2873 3211 3369 3417 3819 4199 8619 9633 11323 12597 14599 14807 16549 19091 21337 21641 33969 43797 44421 49647 54587 57273 64011 64923 75241 163761 189787 192491 215137 225723 248183 277381 281333 362729 569361 577473 645411 744549 832143 843999 978133 1088187 1279097 1429579 2934399 3226379 3605953 3657329 3837291 4288737 4715477 9679137 10817859 10971987 12715729 14146431 16628261 18584527 24302843 38147187 49884783 55753581 61301201 72908529 183903603 216167393 241598851 315936959 648502179 724796553 947810877 4107180467 12321541401