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12315103461101 = 7173128311796223
BaseRepresentation
bin1011001100110101010101…
…0111011111111011101101
31121121022102201211110011202
42303031111113133323231
53103232312441223401
642105251434455245
72410510513153220
oct263152527377355
947538381743152
1012315103461101
113a18895938a61
12146a8bb294525
136b440362050c
143080a89975b7
1516552652e06b
hexb33555dfeed

12315103461101 has 32 divisors (see below), whose sum is σ = 15437388054528. Its totient is φ = 9580419659520.

The previous prime is 12315103461061. The next prime is 12315103461109. The reversal of 12315103461101 is 10116430151321.

It is a cyclic number.

It is not a de Polignac number, because 12315103461101 - 238 = 12040225554157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315103461109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4854125 + ... + 6942098.

It is an arithmetic number, because the mean of its divisors is an integer number (482418376704).

Almost surely, 212315103461101 is an apocalyptic number.

It is an amenable number.

12315103461101 is a deficient number, since it is larger than the sum of its proper divisors (3122284593427).

12315103461101 is a wasteful number, since it uses less digits than its factorization.

12315103461101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796561.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 12315103461101 in words is "twelve trillion, three hundred fifteen billion, one hundred three million, four hundred sixty-one thousand, one hundred one".

Divisors: 1 7 17 31 119 217 283 527 1981 3689 4811 8773 33677 61411 149141 1043987 11796223 82573561 200535791 365682913 1403750537 2559780391 3338331109 6216609521 23368317763 43516266647 56751628853 103488264379 397261401971 724417850653 1759300494443 12315103461101