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31002322200 = 23352374134061
BaseRepresentation
bin11100110111111000…
…011110010100011000
32222000121100010221120
4130313320132110120
51001443043302300
622124155205240
72145160251003
oct346770362430
988017303846
1031002322200
111216a003593
126012746820
132c00c36265
1417015dc53a
15c16b183a0
hex737e1e518

31002322200 has 192 divisors, whose sum is σ = 101115090720. Its totient is φ = 7847424000.

The previous prime is 31002322199. The next prime is 31002322231. The reversal of 31002322200 is 222320013.

It is a super-2 number, since 2×310023222002 (a number of 22 digits) contains 22 as substring.

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 31002322200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893170 + ... + 927230.

Almost surely, 231002322200 is an apocalyptic number.

31002322200 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 31002322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50557545360).

31002322200 is an abundant number, since it is smaller than the sum of its proper divisors (70112768520).

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

31002322200 is a wasteful number, since it uses less digits than its factorization.

31002322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34158 (or 34149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 31002322200 its reverse (222320013), we get a palindrome (31224642213).

The spelling of 31002322200 in words is "thirty-one billion, two million, three hundred twenty-two thousand, two hundred".