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107212755560 = 23517157665817
BaseRepresentation
bin110001111011001100…
…0001101001001101000
3101020201211201021210112
41203312120031021220
53224032431134220
6121130341233452
710513555246241
oct1436630151150
9336654637715
10107212755560
1141517895109
1218941402888
13a157c17841
145290d5dcc8
152bc757c5c5
hex18f660d268

107212755560 has 32 divisors (see below), whose sum is σ = 255418625160. Its totient is φ = 40362448896.

The previous prime is 107212755523. The next prime is 107212755563. The reversal of 107212755560 is 65557212701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100764344356 + 6448411204 = 317434^2 + 80302^2 .

It is a super-2 number, since 2×1072127555602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107212755563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78832229 + ... + 78833588.

Almost surely, 2107212755560 is an apocalyptic number.

107212755560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107212755560 is an abundant number, since it is smaller than the sum of its proper divisors (148205869600).

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

107212755560 is a wasteful number, since it uses less digits than its factorization.

107212755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157665845 (or 157665841 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 107212755560 in words is "one hundred seven billion, two hundred twelve million, seven hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 157665817 315331634 630663268 788329085 1261326536 1576658170 2680318889 3153316340 5360637778 6306632680 10721275556 13401594445 21442551112 26803188890 53606377780 107212755560