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31130020200 = 23352316127437
BaseRepresentation
bin11100111111011111…
…100110100101101000
32222100111121212200010
4130333133212211220
51002223241121300
622145000211520
72151300543246
oct347737464550
988314555603
1031130020200
11122250a2a24
126049469ba0
132c21526cc6
14171455d796
15c22e3ea50
hex73f7e6968

31130020200 has 192 divisors, whose sum is σ = 101252805120. Its totient is φ = 7901568000.

The previous prime is 31130020183. The next prime is 31130020213. The reversal of 31130020200 is 202003113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120882 + ... + 1148318.

It is an arithmetic number, because the mean of its divisors is an integer number (527358360).

Almost surely, 231130020200 is an apocalyptic number.

31130020200 is a gapful number since it is divisible by the number (30) 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 31130020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50626402560).

31130020200 is an abundant number, since it is smaller than the sum of its proper divisors (70122784920).

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

31130020200 is a wasteful number, since it uses less digits than its factorization.

31130020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27548 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31130020200 its reverse (202003113), we get a palindrome (31332023313).

The spelling of 31130020200 in words is "thirty-one billion, one hundred thirty million, twenty thousand, two hundred".