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313130221020 = 223251753992363
BaseRepresentation
bin1001000111010000000…
…00111111110111011100
31002221020120202100212100
410203220000333313130
520112242314033040
6355503335205100
731423441651161
oct4435000776734
91087216670770
10313130221020
11110885934731
125082a816790
13236b3195866
1411226cc8068
15822a284b30
hex48e803fddc

313130221020 has 72 divisors (see below), whose sum is σ = 950371124976. Its totient is φ = 83453674752.

The previous prime is 313130220967. The next prime is 313130221021. The reversal of 313130221020 is 20122031313.

313130221020 is a `hidden beast` number, since 3 + 131 + 302 + 210 + 20 = 666.

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 = 313130220984 and 313130221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130221021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180642 + ... + 811721.

It is an arithmetic number, because the mean of its divisors is an integer number (13199598958).

Almost surely, 2313130221020 is an apocalyptic number.

313130221020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313130221020 is an abundant number, since it is smaller than the sum of its proper divisors (637240903956).

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

313130221020 is a wasteful number, since it uses less digits than its factorization.

313130221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994131 (or 994126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313130221020 its reverse (20122031313), we get a palindrome (333252252333).

The spelling of 313130221020 in words is "three hundred thirteen billion, one hundred thirty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1753 3506 5259 7012 8765 10518 15777 17530 21036 26295 31554 35060 52590 63108 78885 105180 157770 315540 992363 1984726 2977089 3969452 4961815 5954178 8931267 9923630 11908356 14885445 17862534 19847260 29770890 35725068 44656335 59541780 89312670 178625340 1739612339 3479224678 5218837017 6958449356 8698061695 10437674034 15656511051 17396123390 20875348068 26094185085 31313022102 34792246780 52188370170 62626044204 78282555255 104376740340 156565110510 313130221020