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12031131100 = 22521393592411
BaseRepresentation
bin10110011010001110…
…00111110111011100
31011001110200210012011
423031013013313130
5144114432143400
65305500521004
7604066632652
oct131507076734
934043623164
1012031131100
11511429495a
1223b9250164
1311997445b1
14821c02dd2
154a636e8ba
hex2cd1c7ddc

12031131100 has 72 divisors (see below), whose sum is σ = 26379561600. Its totient is φ = 4762545600.

The previous prime is 12031131097. The next prime is 12031131181. The reversal of 12031131100 is 113113021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4988895 + ... + 4991305.

It is an arithmetic number, because the mean of its divisors is an integer number (366382800).

Almost surely, 212031131100 is an apocalyptic number.

12031131100 is a gapful number since it is divisible by the number (10) 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 12031131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189780800).

12031131100 is an abundant number, since it is smaller than the sum of its proper divisors (14348430500).

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

12031131100 is a wasteful number, since it uses less digits than its factorization.

12031131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12031131100 its reverse (113113021), we get a palindrome (12144244121).

The spelling of 12031131100 in words is "twelve billion, thirty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 359 556 695 718 1390 1436 1795 2411 2780 3475 3590 4822 6950 7180 8975 9644 12055 13900 17950 24110 35900 48220 49901 60275 99802 120550 199604 241100 249505 335129 499010 670258 865549 998020 1247525 1340516 1675645 1731098 2495050 3351290 3462196 4327745 4990100 6702580 8378225 8655490 16756450 17310980 21638725 33512900 43277450 86554900 120311311 240622622 481245244 601556555 1203113110 2406226220 3007782775 6015565550 12031131100