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101060160020 = 22516133132677
BaseRepresentation
bin101111000011110100…
…1111010101000010100
3100122212001112001101122
41132013221322220110
53123432400110040
6114232033543112
710205236121021
oct1360751725024
9318761461348
10101060160020
113994a90a006
1217704a14a98
1396b7351671
144c69b8c548
1529673511b5
hex1787a7aa14

101060160020 has 24 divisors (see below), whose sum is σ = 212357976264. Its totient is φ = 40398989696.

The previous prime is 101060160011. The next prime is 101060160031. The reversal of 101060160020 is 20061060101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19851119236 + 81209040784 = 140894^2 + 284972^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1534079 + ... + 1598598.

It is an arithmetic number, because the mean of its divisors is an integer number (8848249011).

Almost surely, 2101060160020 is an apocalyptic number.

101060160020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101060160020 is an abundant number, since it is smaller than the sum of its proper divisors (111297816244).

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

101060160020 is a wasteful number, since it uses less digits than its factorization.

101060160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134299 (or 3134297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 101060160020 in words is "one hundred one billion, sixty million, one hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 20 1613 3226 6452 8065 16130 32260 3132677 6265354 12530708 15663385 31326770 62653540 5053008001 10106016002 20212032004 25265040005 50530080010 101060160020