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106512207192 = 23324136081371
BaseRepresentation
bin110001100110010011…
…1110100110101011000
3101011221000111202002200
41203030213310311120
53221114111112232
6120533034130200
710460320552206
oct1431447646530
9334830452080
10106512207192
1141198400816
1218786880960
13a075a45991
145225cc2076
152b85cec77c
hex18cc9f4d58

106512207192 has 48 divisors (see below), whose sum is σ = 295506436680. Its totient is φ = 34638115200.

The previous prime is 106512207169. The next prime is 106512207271. The reversal of 106512207192 is 291702215601.

106512207192 is a `hidden beast` number, since 106 + 512 + 20 + 7 + 19 + 2 = 666.

It is a super-2 number, since 2×1065122071922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18037734 + ... + 18043637.

Almost surely, 2106512207192 is an apocalyptic number.

106512207192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106512207192 is an abundant number, since it is smaller than the sum of its proper divisors (188994229488).

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

106512207192 is a wasteful number, since it uses less digits than its factorization.

106512207192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36081424 (or 36081417 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 106512207192 in words is "one hundred six billion, five hundred twelve million, two hundred seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 36081371 72162742 108244113 144325484 216488226 288650968 324732339 432976452 649464678 865952904 1298929356 1479336211 2597858712 2958672422 4438008633 5917344844 8876017266 11834689688 13314025899 17752034532 26628051798 35504069064 53256103596 106512207192