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106150010000652 = 22338118112107149
BaseRepresentation
bin11000001000101011111001…
…101000111001010100001100
3111220211211201201010200101000
4120020223321220321110030
5102403130210030010102
61013432350312420300
731234041126466212
oct3010537150712414
9456754651120330
10106150010000652
1130905a6a358382
12baa46bb6a7690
13472cb97b47127
141c2d98b836cb2
15c4131316001c
hex608af9a3950c

106150010000652 has 48 divisors (see below), whose sum is σ = 275207142364000. Its totient is φ = 35382897887040.

The previous prime is 106150010000603. The next prime is 106150010000653. The reversal of 106150010000652 is 256000010051601.

It is a happy number.

106150010000652 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 652 = 666.

It is a super-2 number, since 2×1061500100006522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106150010000653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713974 + ... + 14821122.

Almost surely, 2106150010000652 is an apocalyptic number.

106150010000652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106150010000652 is an abundant number, since it is smaller than the sum of its proper divisors (169057132363348).

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

106150010000652 is a wasteful number, since it uses less digits than its factorization.

106150010000652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188343 (or 12188335 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106150010000652 in words is "one hundred six trillion, one hundred fifty billion, ten million, six hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 81181 162362 243543 324724 487086 730629 974172 1461258 2191887 2922516 4383774 8767548 12107149 24214298 36321447 48428596 72642894 108964341 145285788 217928682 326893023 435857364 653786046 1307572092 982870462969 1965740925938 2948611388907 3931481851876 5897222777814 8845834166721 11794445555628 17691668333442 26537502500163 35383336666884 53075005000326 106150010000652