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107157959811 = 3273314326041
BaseRepresentation
bin110001111001100011…
…1001011010010000011
3101020121000121101011100
41203303013023102003
53223424414203221
6121121102545443
710512321426000
oct1436307132203
9336530541140
10107157959811
1141499969271
1218926b98283
13a149770616
1452879788a7
152bc2856926
hex18f31cb483

107157959811 has 96 divisors (see below), whose sum is σ = 190669107200. Its totient is φ = 57877545600.

The previous prime is 107157959789. The next prime is 107157959833. The reversal of 107157959811 is 118959751701.

107157959811 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 579 + 59 + 8 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (107157959789) and next prime (107157959833).

It is not a de Polignac number, because 107157959811 - 26 = 107157959747 is a prime.

It is a super-2 number, since 2×1071579598112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107157959861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4101951 + ... + 4127991.

Almost surely, 2107157959811 is an apocalyptic number.

107157959811 is a deficient number, since it is larger than the sum of its proper divisors (83511147389).

107157959811 is a wasteful number, since it uses less digits than its factorization.

107157959811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26142 (or 26125 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 54.

The spelling of 107157959811 in words is "one hundred seven billion, one hundred fifty-seven million, nine hundred fifty-nine thousand, eight hundred eleven".

Divisors: 1 3 7 9 21 31 43 49 63 93 129 147 217 279 301 343 387 441 651 903 1029 1333 1519 1953 2107 2709 3087 3999 4557 6321 9331 10633 11997 13671 14749 18963 26041 27993 31899 44247 65317 78123 83979 95697 132741 182287 195951 234369 457219 546861 587853 807271 1119763 1276009 1371657 1640583 2421813 3359289 3828027 4114971 5650897 7265439 7838341 8932063 10077867 11484081 16952691 23515023 26796189 34712653 39556279 50858073 54868387 70545069 80388567 104137959 118668837 164605161 242988571 276893953 312413877 356006511 384078709 493815483 728965713 830681859 1152236127 1700919997 2186897139 2492045577 3456708381 5102759991 11906439979 15308279973 35719319937 107157959811