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31203021300 = 2235211233741271
BaseRepresentation
bin11101000011110110…
…000101000111110100
32222112120222201100120
4131003312011013310
51002400433140200
622200125011540
72153145206403
oct350366050764
988476881316
1031203021300
1112262323810
1260699b3bb0
132c336a6819
14172012363a
15c2955e9a0
hex743d851f4

31203021300 has 576 divisors, whose sum is σ = 108521054208. Its totient is φ = 6842880000.

The previous prime is 31203021299. The next prime is 31203021319. The reversal of 31203021300 is 312030213.

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 31203021300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115140165 + ... + 115140435.

It is an arithmetic number, because the mean of its divisors is an integer number (188404608).

Almost surely, 231203021300 is an apocalyptic number.

31203021300 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 31203021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54260527104).

31203021300 is an abundant number, since it is smaller than the sum of its proper divisors (77318032908).

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

31203021300 is a wasteful number, since it uses less digits than its factorization.

31203021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31203021300 its reverse (312030213), we get a palindrome (31515051513).

31203021300 divided by its reverse (312030213) gives a square (100 = 102).

The spelling of 31203021300 in words is "thirty-one billion, two hundred three million, twenty-one thousand, three hundred".