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31243432200 = 23352895211123
BaseRepresentation
bin11101000110010000…
…001111000100001000
32222122102000210200120
4131012100033010020
51002441304312300
622204131103240
72154145535421
oct350620170410
988572023616
1031243432200
1112283115052
12607b441b20
132c3bb853b6
141725642648
15c2cd933a0
hex74640f108

31243432200 has 192 divisors, whose sum is σ = 98218267200. Its totient is φ = 8214835200.

The previous prime is 31243432177. The next prime is 31243432229. The reversal of 31243432200 is 223434213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27820839 + ... + 27821961.

It is an arithmetic number, because the mean of its divisors is an integer number (511553475).

Almost surely, 231243432200 is an apocalyptic number.

31243432200 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 31243432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109133600).

31243432200 is an abundant number, since it is smaller than the sum of its proper divisors (66974835000).

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

31243432200 is a wasteful number, since it uses less digits than its factorization.

31243432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31243432200 its reverse (223434213), we get a palindrome (31466866413).

The spelling of 31243432200 in words is "thirty-one billion, two hundred forty-three million, four hundred thirty-two thousand, two hundred".