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31020011400 = 2335278398803
BaseRepresentation
bin11100111000111011…
…111100111110001000
32222001211121211222010
4130320323330332020
51002012110331100
622130030255520
72145463514010
oct347073747610
988054554863
1031020011400
1112178a95764
1260186575a0
132c047ba941
141703ac4c40
15c1845e750
hex738efcf88

31020011400 has 192 divisors, whose sum is σ = 110042956800. Its totient is φ = 7081032960.

The previous prime is 31020011371. The next prime is 31020011411. The reversal of 31020011400 is 411002013.

It is a happy number.

It is a super-2 number, since 2×310200114002 (a number of 22 digits) contains 22 as substring.

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, 3519399 + ... + 3528201.

It is an arithmetic number, because the mean of its divisors is an integer number (573140400).

Almost surely, 231020011400 is an apocalyptic number.

31020011400 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 31020011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55021478400).

31020011400 is an abundant number, since it is smaller than the sum of its proper divisors (79022945400).

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

31020011400 is a wasteful number, since it uses less digits than its factorization.

31020011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31020011400 its reverse (411002013), we get a palindrome (31431013413).

The spelling of 31020011400 in words is "thirty-one billion, twenty million, eleven thousand, four hundred".