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31013124300 = 223252198321851
BaseRepresentation
bin11100111000100001…
…101011100011001100
32222001100122221122100
4130320201223203030
51002003324434200
622125222515100
72145351131004
oct347041534314
988040587570
1031013124300
1112175111344
126016295a90
132c03248c32
141702c11004
15c17a4dd00
hex73886b8cc

31013124300 has 216 divisors, whose sum is σ = 103562746560. Its totient is φ = 7740144000.

The previous prime is 31013124299. The next prime is 31013124341. The reversal of 31013124300 is 342131013.

31013124300 is a `hidden beast` number, since 310 + 1 + 31 + 24 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1408375 + ... + 1430225.

It is an arithmetic number, because the mean of its divisors is an integer number (479457160).

Almost surely, 231013124300 is an apocalyptic number.

31013124300 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 31013124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51781373280).

31013124300 is an abundant number, since it is smaller than the sum of its proper divisors (72549622260).

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

31013124300 is a wasteful number, since it uses less digits than its factorization.

31013124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21973 (or 21963 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31013124300 its reverse (342131013), we get a palindrome (31355255313).

The spelling of 31013124300 in words is "thirty-one billion, thirteen million, one hundred twenty-four thousand, three hundred".