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106151560680 = 23351180417849
BaseRepresentation
bin110001011011100100…
…0000100010111101000
3101010222212220000002110
41202313020010113220
53214344244420210
6120433152202320
710445351243514
oct1426710042750
9333885800073
10106151560680
1141022874750
12186a5b393a0
13a019102889
1451d0043144
152b6430e420
hex18b72045e8

106151560680 has 64 divisors (see below), whose sum is σ = 347405112000. Its totient is φ = 25733711360.

The previous prime is 106151560679. The next prime is 106151560687. The reversal of 106151560680 is 86065151601.

It is a super-2 number, since 2×1061515606802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106151560687) 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, 40207605 + ... + 40210244.

It is an arithmetic number, because the mean of its divisors is an integer number (5428204875).

Almost surely, 2106151560680 is an apocalyptic number.

106151560680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106151560680 is an abundant number, since it is smaller than the sum of its proper divisors (241253551320).

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

106151560680 is a wasteful number, since it uses less digits than its factorization.

106151560680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80417874 (or 80417870 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 106151560680 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 80417849 160835698 241253547 321671396 402089245 482507094 643342792 804178490 884596339 965014188 1206267735 1608356980 1769192678 1930028376 2412535470 2653789017 3216713960 3538385356 4422981695 4825070940 5307578034 7076770712 8845963390 9650141880 10615156068 13268945085 17691926780 21230312136 26537890170 35383853560 53075780340 106151560680