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31122202020 = 223572132943653
BaseRepresentation
bin11100111111000001…
…110001110110100100
32222022221220200010220
4130333001301312210
51002214240431040
622144120444340
72151144231600
oct347701616644
988287820126
1031122202020
1112220743018
1260469196b0
132c1ca1a570
1417134c6500
15c223e82d0
hex73f071da4

31122202020 has 576 divisors, whose sum is σ = 115734769920. Its totient is φ = 6183088128.

The previous prime is 31122201961. The next prime is 31122202051. The reversal of 31122202020 is 2020222113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 191 ways as a sum of consecutive naturals, for example, 47660014 + ... + 47660666.

It is an arithmetic number, because the mean of its divisors is an integer number (200928420).

Almost surely, 231122202020 is an apocalyptic number.

31122202020 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 31122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867384960).

31122202020 is an abundant number, since it is smaller than the sum of its proper divisors (84612567900).

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

31122202020 is a wasteful number, since it uses less digits than its factorization.

31122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 31122202020 its reverse (2020222113), we get a palindrome (33142424133).

The spelling of 31122202020 in words is "thirty-one billion, one hundred twenty-two million, two hundred two thousand, twenty".