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104167412162341 = 11231211334739323
BaseRepresentation
bin10111101011110101011101…
…100110010101111100100101
3111122211022022001112020102221
4113223311131212111330211
5102123134330003143331
61005313503140232341
730640563403066333
oct2753653546257445
9448738261466387
10104167412162341
1130211173588200
12b82441369b6b1
134617c389c3668
141ba1a30230b53
15c09977ce8711
hex5ebd5d995f25

104167412162341 has 48 divisors (see below), whose sum is σ = 118790200940544. Its totient is φ = 91178988516000.

The previous prime is 104167412162291. The next prime is 104167412162357. The reversal of 104167412162341 is 143261214761401.

It is not a de Polignac number, because 104167412162341 - 211 = 104167412160293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104167412162381) 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 47 ways as a sum of consecutive naturals, for example, 2649000306 + ... + 2649039628.

It is an arithmetic number, because the mean of its divisors is an integer number (2474795852928).

Almost surely, 2104167412162341 is an apocalyptic number.

104167412162341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104167412162341 is a deficient number, since it is larger than the sum of its proper divisors (14622788778203).

104167412162341 is a wasteful number, since it uses less digits than its factorization.

104167412162341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42934 (or 42923 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 104167412162341 in words is "one hundred four trillion, one hundred sixty-seven billion, four hundred twelve million, one hundred sixty-two thousand, three hundred forty-one".

Divisors: 1 11 31 121 211 341 2321 3347 3751 6541 25531 36817 39323 71951 103757 404987 432553 706217 791461 1141327 1219013 4758083 7768387 8297153 12554597 13409143 21892727 85452257 91268683 131614081 147500573 240819997 257211743 1003955513 1447754891 2649019967 2829329173 4080036511 15925303801 27770571091 31122620903 44880401621 305476282001 493684417831 860887703821 3360239102011 9469764742031 104167412162341