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100710612705420 = 223252359449918283
BaseRepresentation
bin10110111001100010000100…
…010010111010000010001100
3111012120211200202111012222100
4112321202010102322002030
5101200020313323033140
6554105452231115100
730133046603365014
oct2671420422720214
9435524622435870
10100710612705420
112a0a91493964a3
12b366484512a90
134426c7c1c7023
141ac25c37acc44
15b99aaa412530
hex5b98844ba08c

100710612705420 has 288 divisors, whose sum is σ = 324896225472000. Its totient is φ = 25196835299328.

The previous prime is 100710612705403. The next prime is 100710612705421. The reversal of 100710612705420 is 24507216017001.

100710612705420 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 10 + 612 + 7 + 0 + 5 + 4 + 20 = 666.

It is a super-2 number, since 2×1007106127054202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100710612705421) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 109213599 + ... + 110131881.

It is an arithmetic number, because the mean of its divisors is an integer number (1128111894000).

Almost surely, 2100710612705420 is an apocalyptic number.

100710612705420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100710612705420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162448112736000).

100710612705420 is an abundant number, since it is smaller than the sum of its proper divisors (224185612766580).

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

100710612705420 is a wasteful number, since it uses less digits than its factorization.

100710612705420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918829 (or 918824 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 100710612705420 in words is "one hundred trillion, seven hundred ten billion, six hundred twelve million, seven hundred five thousand, four hundred twenty".