Search a number
-
+
100105445412 = 22327541373387
BaseRepresentation
bin101110100111010111…
…1111110000000100100
3100120101112001112011100
41131032233332000210
53120003443223122
6113553211040100
710142464150350
oct1351657760044
9316345045140
10100105445412
11394aaa06875
1217499140030
13959460b98b
144bb906c460
15290d617aac
hex174ebfe024

100105445412 has 72 divisors (see below), whose sum is σ = 289250876096. Its totient is φ = 28595882304.

The previous prime is 100105445411. The next prime is 100105445413. The reversal of 100105445412 is 214544501001.

100105445412 is a `hidden beast` number, since 10 + 0 + 105 + 4 + 4 + 541 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100105445411) and next prime (100105445413).

It is a super-2 number, since 2×1001054454122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105445411) 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, 1327383 + ... + 1400769.

Almost surely, 2100105445412 is an apocalyptic number.

100105445412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100105445412 is an abundant number, since it is smaller than the sum of its proper divisors (189145430684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105445412 is a wasteful number, since it uses less digits than its factorization.

100105445412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78817 (or 78812 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 100105445412 its reverse (214544501001), we get a palindrome (314649946413).

The spelling of 100105445412 in words is "one hundred billion, one hundred five million, four hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5413 10826 16239 21652 32478 37891 48717 64956 73387 75782 97434 113673 146774 151564 194868 220161 227346 293548 341019 440322 454692 513709 660483 682038 880644 1027418 1320966 1364076 1541127 2054836 2641932 3082254 4623381 6164508 9246762 18493524 397243831 794487662 1191731493 1588975324 2383462986 2780706817 3575194479 4766925972 5561413634 7150388958 8342120451 11122827268 14300777916 16684240902 25026361353 33368481804 50052722706 100105445412