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20610131427 = 346138910723
BaseRepresentation
bin10011001100011101…
…011010010111100011
31222012100121011020000
4103030131122113203
5314202143201202
613245042351043
71326511140504
oct231435322743
958170534200
1020610131427
118816977876
123bb235b483
131c35c0cb52
14dd7348bab
158095da91c
hex4cc75a5e3

20610131427 has 40 divisors (see below), whose sum is σ = 31376064720. Its totient is φ = 13478840640.

The previous prime is 20610131417. The next prime is 20610131447. The reversal of 20610131427 is 72413101602.

20610131427 is a `hidden beast` number, since 2 + 0 + 610 + 1 + 3 + 1 + 42 + 7 = 666.

It is not a de Polignac number, because 20610131427 - 224 = 20593354211 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20610131427.

It is not an unprimeable number, because it can be changed into a prime (20610131417) 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 39 ways as a sum of consecutive naturals, for example, 1916688 + ... + 1927410.

It is an arithmetic number, because the mean of its divisors is an integer number (784401618).

Almost surely, 220610131427 is an apocalyptic number.

20610131427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20610131427 is a deficient number, since it is larger than the sum of its proper divisors (10765933293).

20610131427 is a wasteful number, since it uses less digits than its factorization.

20610131427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11185 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20610131427 in words is "twenty billion, six hundred ten million, one hundred thirty-one thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 61 81 183 389 549 1167 1647 3501 4941 10503 10723 23729 31509 32169 71187 96507 213561 289521 640683 654103 868563 1922049 1962309 4171247 5886927 12513741 17660781 37541223 52982343 112623669 254446067 337871007 763338201 2290014603 6870043809 20610131427