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313104012020 = 2251731411814003
BaseRepresentation
bin1001000111001100111…
…01000001001011110100
31002221011202102210212122
410203212131001023310
520112214111341040
6355501001335112
731423003122122
oct4434635011364
91087152383778
10313104012020
111108720634a8
1250821a97498
13236aa91a287
1411223624912
158227d091b5
hex48e67412f4

313104012020 has 192 divisors, whose sum is σ = 740434286592. Its totient is φ = 110647296000.

The previous prime is 313104012007. The next prime is 313104012029. The reversal of 313104012020 is 20210401313.

313104012020 = T31 + T32 + ... + T12338.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 313104012020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313104012029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78215339 + ... + 78219341.

It is an arithmetic number, because the mean of its divisors is an integer number (3856428576).

Almost surely, 2313104012020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313104012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370217143296).

313104012020 is an abundant number, since it is smaller than the sum of its proper divisors (427330274572).

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

313104012020 is a wasteful number, since it uses less digits than its factorization.

313104012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 313104012020 its reverse (20210401313), we get a palindrome (333314413333).

The spelling of 313104012020 in words is "three hundred thirteen billion, one hundred four million, twelve thousand, twenty".