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106506160312130 = 2527743388798793
BaseRepresentation
bin11000001101110111100101…
…110110100000111101000010
3111222002220000102210001222222
4120031313211312200331002
5102424444104014442010
61014304130553531042
731301546640260555
oct3015674566407502
9458086012701888
10106506160312130
1130a33010982777
12bb41735713a82
13475764598c0c7
141c42cd604469c
15c4a70a0dd355
hex60dde5da0f42

106506160312130 has 32 divisors (see below), whose sum is σ = 192847537686384. Its totient is φ = 42350630270976.

The previous prime is 106506160312021. The next prime is 106506160312193. The reversal of 106506160312130 is 31213061605601.

It can be written as a sum of positive squares in 8 ways, for example, as 6893244999001 + 99612915313129 = 2625499^2 + 9980627^2 .

It is a super-2 number, since 2×1065061603121302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43199987 + ... + 45598806.

Almost surely, 2106506160312130 is an apocalyptic number.

106506160312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106506160312130 is a deficient number, since it is larger than the sum of its proper divisors (86341377374254).

106506160312130 is a wasteful number, since it uses less digits than its factorization.

106506160312130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88799510.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 106506160312130 in words is "one hundred six trillion, five hundred six billion, one hundred sixty million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 277 433 554 866 1385 2165 2770 4330 119941 239882 599705 1199410 88798793 177597586 443993965 887987930 24597265661 38449877369 49194531322 76899754738 122986328305 192249386845 245972656610 384498773690 10650616031213 21301232062426 53253080156065 106506160312130