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100552466631441 = 31122599710655231
BaseRepresentation
bin10110110111001110110010…
…000011100000101100010001
3111012000201111021202021101010
4112313032302003200230101
5101134422422424201231
6553505055424001133
730115450601054646
oct2667166203405421
9435021437667333
10100552466631441
112a04807501a400
12b33b8a97601a9
13441509807b866
141ab8aa01abdcd
15b959015d1546
hex5b73b20e0b11

100552466631441 has 24 divisors (see below), whose sum is σ = 147371831857152. Its totient is φ = 60938538997600.

The previous prime is 100552466631439. The next prime is 100552466631479. The reversal of 100552466631441 is 144136664255001.

It is not a de Polignac number, because 100552466631441 - 21 = 100552466631439 is a prime.

It is a super-2 number, since 2×1005524666314412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100552466631481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4109296 + ... + 14764526.

It is an arithmetic number, because the mean of its divisors is an integer number (6140492994048).

Almost surely, 2100552466631441 is an apocalyptic number.

100552466631441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100552466631441 is a deficient number, since it is larger than the sum of its proper divisors (46819365225711).

100552466631441 is a wasteful number, since it uses less digits than its factorization.

100552466631441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10681253 (or 10681242 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 100552466631441 in words is "one hundred trillion, five hundred fifty-two billion, four hundred sixty-six million, six hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 363 25997 77991 285967 857901 3145637 9436911 10655231 31965693 117207541 351622623 1289282951 3867848853 277004040307 831012120921 3047044443377 9141133330131 33517488877147 100552466631441