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31020210000 = 2432541326513
BaseRepresentation
bin11100111000111100…
…101101011101010000
32222001211222221101200
4130320330231131100
51002012133210000
622130034431200
72145465302013
oct347074553520
988054887350
1031020210000
111217911099a
126018732500
132c0485a160
141703b3737a
15c1849d500
hex738f2d750

31020210000 has 300 divisors, whose sum is σ = 116831342628. Its totient is φ = 7635456000.

The previous prime is 31020209999. The next prime is 31020210041. The reversal of 31020210000 is 1202013.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 30514499856 + 505710144 = 174684^2 + 22488^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 1156744 + ... + 1183256.

Almost surely, 231020210000 is an apocalyptic number.

31020210000 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 31020210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58415671314).

31020210000 is an abundant number, since it is smaller than the sum of its proper divisors (85811132628).

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

31020210000 is a wasteful number, since it uses less digits than its factorization.

31020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26560 (or 26536 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 31020210000 its reverse (1202013), we get a palindrome (31021412013).

The spelling of 31020210000 in words is "thirty-one billion, twenty million, two hundred ten thousand".