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104534343435401 = 1121022418449841
BaseRepresentation
bin10111110001001011001100…
…011010000100010010001001
3111201010101102010110020002022
4113301023030122010102021
5102200142313404413101
61010154225303014225
731006233323333615
oct2761131432042211
9451111363406068
10104534343435401
1130342847734600
12b88355813a375
134643714271149
141bb56bc5b2345
15c142a149aa1b
hex5f12cc684489

104534343435401 has 12 divisors (see below), whose sum is σ = 114902523186612. Its totient is φ = 95030280576000.

The previous prime is 104534343435367. The next prime is 104534343435407.

104534343435401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 92861187875401 + 11673155560000 = 9636451^2 + 3416600^2 .

It is not a de Polignac number, because 104534343435401 - 214 = 104534343419017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104534343435407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8146241 + ... + 16596081.

It is an arithmetic number, because the mean of its divisors is an integer number (9575210265551).

Almost surely, 2104534343435401 is an apocalyptic number.

104534343435401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104534343435401 is a deficient number, since it is larger than the sum of its proper divisors (10368179751211).

104534343435401 is a wasteful number, since it uses less digits than its factorization.

104534343435401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8552104 (or 8552093 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 104534343435401 in words is "one hundred four trillion, five hundred thirty-four billion, three hundred forty-three million, four hundred thirty-five thousand, four hundred one".

Divisors: 1 11 121 102241 1124651 8449841 12371161 92948251 1022430761 863920193681 9503122130491 104534343435401