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104331133401 = 31114922992657
BaseRepresentation
bin110000100101010011…
…1101100000111011001
3100222022000102201022220
41201022213230013121
53202132232232101
6115532402134253
710352265000405
oct1411247540731
9328260381286
10104331133401
11402792287a0
1218278351389
139ab8c0ca81
14509a370105
152aa95bd636
hex184a9ec1d9

104331133401 has 32 divisors (see below), whose sum is σ = 153441648000. Its totient is φ = 62531681280.

The previous prime is 104331133363. The next prime is 104331133409.

104331133401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104331133401 - 211 = 104331131353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104331133409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079665 + ... + 1172321.

It is an arithmetic number, because the mean of its divisors is an integer number (4795051500).

Almost surely, 2104331133401 is an apocalyptic number.

104331133401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104331133401 is a deficient number, since it is larger than the sum of its proper divisors (49110514599).

104331133401 is a wasteful number, since it uses less digits than its factorization.

104331133401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93049.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 104331 and 133401, that added together give a palindrome (237732).

The spelling of 104331133401 in words is "one hundred four billion, three hundred thirty-one million, one hundred thirty-three thousand, four hundred one".

Divisors: 1 3 11 33 149 229 447 687 1639 2519 4917 7557 34121 92657 102363 277971 375331 1019227 1125993 3057681 13805893 21218453 41417679 63655359 151864823 233402983 455594469 700208949 3161549497 9484648491 34777044467 104331133401