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107081126160 = 2435446171359
BaseRepresentation
bin110001110111010001…
…0000101000100010000
3101020101200000211012120
41203232202011010100
53223300232014120
6121105320054240
710510366361121
oct1435642050420
9336350024176
10107081126160
114145a55aa88
1218905304380
13a13687b518
14527b698048
152bbac2b140
hex18ee885110

107081126160 has 40 divisors (see below), whose sum is σ = 331951491840. Its totient is φ = 28554966912.

The previous prime is 107081126149. The next prime is 107081126189. The reversal of 107081126160 is 61621180701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1070811261602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223085440 + ... + 223085919.

It is an arithmetic number, because the mean of its divisors is an integer number (8298787296).

Almost surely, 2107081126160 is an apocalyptic number.

107081126160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107081126160 is an abundant number, since it is smaller than the sum of its proper divisors (224870365680).

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

107081126160 is a wasteful number, since it uses less digits than its factorization.

107081126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446171375 (or 446171369 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 107081126160 in words is "one hundred seven billion, eighty-one million, one hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 446171359 892342718 1338514077 1784685436 2230856795 2677028154 3569370872 4461713590 5354056308 6692570385 7138741744 8923427180 10708112616 13385140770 17846854360 21416225232 26770281540 35693708720 53540563080 107081126160