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12325802401 = 1129142727077
BaseRepresentation
bin10110111101010110…
…01101000110100001
31011211000011122020001
423132223031012201
5200220401134101
65355024420001
7614305406653
oct133653150641
934730148201
1012325802401
115255659860
12247ba77601
1312157c7b03
1484cdca6d3
154c2179901
hex2deacd1a1

12325802401 has 16 divisors (see below), whose sum is σ = 13920258240. Its totient is φ = 10810905280.

The previous prime is 12325802393. The next prime is 12325802413. The reversal of 12325802401 is 10420852321.

It is a cyclic number.

It is not a de Polignac number, because 12325802401 - 23 = 12325802393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12325802401.

It is not an unprimeable number, because it can be changed into a prime (12325802441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441675 + ... + 468751.

It is an arithmetic number, because the mean of its divisors is an integer number (870016140).

Almost surely, 212325802401 is an apocalyptic number.

12325802401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12325802401 is a deficient number, since it is larger than the sum of its proper divisors (1594455839).

12325802401 is a wasteful number, since it uses less digits than its factorization.

12325802401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28544.

The product of its (nonzero) digits is 3840, while the sum is 28.

It can be divided in two parts, 12325 and 802401, that added together give a triangular number (814726 = T1276).

The spelling of 12325802401 in words is "twelve billion, three hundred twenty-five million, eight hundred two thousand, four hundred one".

Divisors: 1 11 29 319 1427 15697 27077 41383 297847 455213 785233 8637563 38638879 425027669 1120527491 12325802401