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32013122100 = 22352106710407
BaseRepresentation
bin11101110100001000…
…010111101000110100
310001122001100002201220
4131310020113220310
51011030324401400
622412344150340
72212213022331
oct356410275064
9101561302656
1032013122100
1112638633503
1262551683b0
1330324850cb
14179995b988
15c7572e7a0
hex774217a34

32013122100 has 36 divisors (see below), whose sum is σ = 92624634144. Its totient is φ = 8536832480.

The previous prime is 32013122083. The next prime is 32013122101. The reversal of 32013122100 is 122131023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32013122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013122101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53354904 + ... + 53355503.

It is an arithmetic number, because the mean of its divisors is an integer number (2572906504).

Almost surely, 232013122100 is an apocalyptic number.

32013122100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32013122100 is an abundant number, since it is smaller than the sum of its proper divisors (60611512044).

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

32013122100 is a wasteful number, since it uses less digits than its factorization.

32013122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106710424 (or 106710417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32013122100 its reverse (122131023), we get a palindrome (32135253123).

The spelling of 32013122100 in words is "thirty-two billion, thirteen million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 106710407 213420814 320131221 426841628 533552035 640262442 1067104070 1280524884 1600656105 2134208140 2667760175 3201312210 5335520350 6402624420 8003280525 10671040700 16006561050 32013122100