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2131231300 = 22521110119183
BaseRepresentation
bin111111100001000…
…0000001001000100
312111112021202201121
41333002000021010
513331043400200
6551251403324
7103546111222
oct17702001104
95445252647
102131231300
119a402a690
124b58b3544
1327c704413
14163099b12
15c7185e1a
hex7f080244

2131231300 has 72 divisors (see below), whose sum is σ = 5095423872. Its totient is φ = 767280000.

The previous prime is 2131231279. The next prime is 2131231303. The reversal of 2131231300 is 31321312.

It is not an unprimeable number, because it can be changed into a prime (2131231303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101509 + ... + 120691.

It is an arithmetic number, because the mean of its divisors is an integer number (70769776).

Almost surely, 22131231300 is an apocalyptic number.

2131231300 is a gapful number since it is divisible by the number (20) 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 2131231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547711936).

2131231300 is an abundant number, since it is smaller than the sum of its proper divisors (2964192572).

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

2131231300 is a wasteful number, since it uses less digits than its factorization.

2131231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19309 (or 19302 counting only the distinct ones).

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

The square root of 2131231300 is about 46165.2607487492. The cubic root of 2131231300 is about 1286.8962299313.

Adding to 2131231300 its reverse (31321312), we get a palindrome (2162552612).

The spelling of 2131231300 in words is "two billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 19183 22220 27775 38366 55550 76732 95915 111100 191830 211013 383660 422026 479575 844052 959150 1055065 1918300 1937483 2110130 3874966 4220260 5275325 7749932 9687415 10550650 19374830 21101300 21312313 38749660 42624626 48437075 85249252 96874150 106561565 193748300 213123130 426246260 532807825 1065615650 2131231300