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107188137050 = 2526337338293
BaseRepresentation
bin110001111010011101…
…0010010110001011010
3101020200010101112112212
41203310322102301122
53224010130341200
6121124101435122
710513136063201
oct1436472226132
9336603345485
10107188137050
11415049aa935
121893510baa2
13a152aa8187
14528b992238
152bc5318035
hex18f4e92c5a

107188137050 has 24 divisors (see below), whose sum is σ = 199401985596. Its totient is φ = 42868362240.

The previous prime is 107188137013. The next prime is 107188137073. The reversal of 107188137050 is 50731881701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14833534849 + 92354602201 = 121793^2 + 303899^2 .

It is a super-2 number, since 2×1071881370502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107188136989 and 107188137007.

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, 147704 + ... + 485996.

Almost surely, 2107188137050 is an apocalyptic number.

107188137050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107188137050 is a deficient number, since it is larger than the sum of its proper divisors (92213848546).

107188137050 is a wasteful number, since it uses less digits than its factorization.

107188137050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344642 (or 344637 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 41.

The spelling of 107188137050 in words is "one hundred seven billion, one hundred eighty-eight million, one hundred thirty-seven thousand, fifty".

Divisors: 1 2 5 10 25 50 6337 12674 31685 63370 158425 316850 338293 676586 1691465 3382930 8457325 16914650 2143762741 4287525482 10718813705 21437627410 53594068525 107188137050