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104323262323401 = 3211295797302409
BaseRepresentation
bin10111101110000110100110…
…111111100001101011001001
3111200101012120112002201121100
4113232012212333201223021
5102133213020123322101
61005513240050132013
730655051456436622
oct2756064677415311
9450335515081540
10104323262323401
1130271279974a00
12b84a669581009
134629845298084
141ba93b6948a49
15c0da4a2b3e86
hex5ee1a6fe1ac9

104323262323401 has 18 divisors (see below), whose sum is σ = 165633535866890. Its totient is φ = 63226219589280.

The previous prime is 104323262323277. The next prime is 104323262323411.

104323262323401 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 3 + 2 + 623 + 23 + 4 + 0 + 1 = 666.

104323262323401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 77607554535225 + 26715707788176 = 8809515^2 + 5168724^2 .

It is not a de Polignac number, because 104323262323401 - 211 = 104323262321353 is a prime.

It is a super-2 number, since 2×1043232623234012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104323262323411) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47898650116 + ... + 47898652293.

Almost surely, 2104323262323401 is an apocalyptic number.

104323262323401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104323262323401 is a deficient number, since it is larger than the sum of its proper divisors (61310273543489).

104323262323401 is a wasteful number, since it uses less digits than its factorization.

104323262323401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95797302437 (or 95797302423 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 104323262323401 in words is "one hundred four trillion, three hundred twenty-three billion, two hundred sixty-two million, three hundred twenty-three thousand, four hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 95797302409 287391907227 862175721681 1053770326499 3161310979497 9483932938491 11591473591489 34774420774467 104323262323401