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104125521401 = 1167031412197
BaseRepresentation
bin110000011111001011…
…1010101110111111001
3100221202200112112200122
41200332113111313321
53201222113141101
6115500135143025
710344220220456
oct1407627256771
9327680475618
10104125521401
1140183162420
121821b514a75
139a8543c275
14507ad2a82d
152a9650651b
hex183e5d5df9

104125521401 has 8 divisors (see below), whose sum is σ = 113608504704. Its totient is φ = 94645375920.

The previous prime is 104125521391. The next prime is 104125521427.

It is a happy number.

104125521401 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104125521401 is a prime.

It is a super-3 number, since 3×1041255214013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104125521491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632366 + ... + 779831.

It is an arithmetic number, because the mean of its divisors is an integer number (14201063088).

Almost surely, 2104125521401 is an apocalyptic number.

104125521401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104125521401 is a deficient number, since it is larger than the sum of its proper divisors (9482983303).

104125521401 is a wasteful number, since it uses less digits than its factorization.

104125521401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418911.

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 104125 and 521401, that added together give a palindrome (625526).

The spelling of 104125521401 in words is "one hundred four billion, one hundred twenty-five million, five hundred twenty-one thousand, four hundred one".

Divisors: 1 11 6703 73733 1412197 15534167 9465956491 104125521401