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12401045325 = 345261100393
BaseRepresentation
bin10111000110010100…
…01110111101001101
31012000020202101010000
423203022032331031
5200344131422300
65410313234513
7616211101044
oct134312167515
935006671100
1012401045325
115294080999
1224a1102a39
131228280b56
14858db555b
154c8a8dc00
hex2e328ef4d

12401045325 has 60 divisors (see below), whose sum is σ = 23347829428. Its totient is φ = 6505401600.

The previous prime is 12401045317. The next prime is 12401045399. The reversal of 12401045325 is 52354010421.

12401045325 is a `hidden beast` number, since 1 + 24 + 0 + 104 + 532 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2345368041 + 10055677284 = 48429^2 + 100278^2 .

It is not a de Polignac number, because 12401045325 - 23 = 12401045317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 73329 + ... + 173721.

Almost surely, 212401045325 is an apocalyptic number.

12401045325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12401045325 is a deficient number, since it is larger than the sum of its proper divisors (10946784103).

12401045325 is a wasteful number, since it uses less digits than its factorization.

12401045325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100476 (or 100462 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12401045325 its reverse (52354010421), we get a palindrome (64755055746).

The spelling of 12401045325 in words is "twelve billion, four hundred one million, forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 81 135 183 225 305 405 549 675 915 1525 1647 2025 2745 4575 4941 8235 13725 24705 41175 100393 123525 301179 501965 903537 1505895 2509825 2710611 4517685 6123973 7529475 8131833 13553055 18371919 22588425 30619865 40659165 55115757 67765275 91859595 153099325 165347271 203295825 275578785 459297975 496041813 826736355 1377893925 2480209065 4133681775 12401045325