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131210300032 = 277146440067
BaseRepresentation
bin111101000110010111…
…1100100101010000000
3110112200021022212010221
41322030233210222000
54122204314100112
6140135512032424
712323341101610
oct1721457445200
9415607285127
10131210300032
1150711880499
122151a092714
13c4b08642b6
1464ca11aa40
15362e235e07
hex1e8cbe4a80

131210300032 has 32 divisors (see below), whose sum is σ = 298737738720. Its totient is φ = 56232985344.

The previous prime is 131210300003. The next prime is 131210300047. The reversal of 131210300032 is 230003012131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1312103000322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131210299979 and 131210300015.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 73219138 + ... + 73220929.

It is an arithmetic number, because the mean of its divisors is an integer number (9335554335).

Almost surely, 2131210300032 is an apocalyptic number.

It is an amenable number.

131210300032 is an abundant number, since it is smaller than the sum of its proper divisors (167527438688).

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

131210300032 is an equidigital number, since it uses as much as digits as its factorization.

131210300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146440088 (or 146440076 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131210300032 its reverse (230003012131), we get a palindrome (361213312163).

The spelling of 131210300032 in words is "one hundred thirty-one billion, two hundred ten million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 146440067 292880134 585760268 1025080469 1171520536 2050160938 2343041072 4100321876 4686082144 8200643752 9372164288 16401287504 18744328576 32802575008 65605150016 131210300032