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107241104520 = 233351121575227
BaseRepresentation
bin110001111100000010…
…0010110010010001000
3101020210211001120021000
41203320010112102020
53224112210321040
6121133233015000
710514351230254
oct1437004262210
9336724046230
10107241104520
1141531898100
121894a9b4460
13a160a62184
145294a1d264
152bc9ccc130
hex18f8116488

107241104520 has 384 divisors, whose sum is σ = 395500291200. Its totient is φ = 25827310080.

The previous prime is 107241104513. The next prime is 107241104527. The reversal of 107241104520 is 25401142701.

107241104520 is a `hidden beast` number, since 1 + 0 + 7 + 24 + 110 + 4 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (107241104513) and next prime (107241104527).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107241104527) 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, 20514147 + ... + 20519373.

It is an arithmetic number, because the mean of its divisors is an integer number (1029948675).

Almost surely, 2107241104520 is an apocalyptic number.

107241104520 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 107241104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197750145600).

107241104520 is an abundant number, since it is smaller than the sum of its proper divisors (288259186680).

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

107241104520 is a wasteful number, since it uses less digits than its factorization.

107241104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 107241104520 in words is "one hundred seven billion, two hundred forty-one million, one hundred four thousand, five hundred twenty".