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31020021220320 = 25325112237875429
BaseRepresentation
bin1110000110110011010010…
…10110001000001111100000
311001211111002121120120000200
413003121221112020033200
513031213000413022240
6145550222341545200
76351060020613036
oct703315126101740
9131744077516020
1031020021220320
11997a57631a120
12358ba7a415200
131440238602402
1479353c840556
1538bd7e09d930
hex1c36695883e0

31020021220320 has 288 divisors, whose sum is σ = 115530833265120. Its totient is φ = 7516634910720.

The previous prime is 31020021220271. The next prime is 31020021220369. The reversal of 31020021220320 is 2302212002013.

31020021220320 is a `hidden beast` number, since 3 + 102 + 0 + 0 + 21 + 220 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (31020021220271) and next prime (31020021220369).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 31020021220293 and 31020021220302.

It is a congruent number.

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, 34996366 + ... + 35871794.

It is an arithmetic number, because the mean of its divisors is an integer number (401148726615).

Almost surely, 231020021220320 is an apocalyptic number.

31020021220320 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 31020021220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57765416632560).

31020021220320 is an abundant number, since it is smaller than the sum of its proper divisors (84510812044800).

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

31020021220320 is a wasteful number, since it uses less digits than its factorization.

31020021220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877698 (or 877687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31020021220320 its reverse (2302212002013), we get a palindrome (33322233222333).

The spelling of 31020021220320 in words is "thirty-one trillion, twenty billion, twenty-one million, two hundred twenty thousand, three hundred twenty".