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313201123020 = 223257879220841
BaseRepresentation
bin1001000111011000011…
…11011101111011001100
31002221102112011120010100
410203230033131323030
520112413441414040
6355514351011100
731425262422432
oct4435417357314
91087375146110
10313201123020
11110911961425
125084a509a90
13236c4a8bac6
14112324a2d52
1582315dcb30
hex48ec3ddecc

313201123020 has 72 divisors (see below), whose sum is σ = 950168288160. Its totient is φ = 83509320960.

The previous prime is 313201122959. The next prime is 313201123057. The reversal of 313201123020 is 20321102313.

313201123020 is a `hidden beast` number, since 31 + 320 + 1 + 12 + 302 + 0 = 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 = 313201122984 and 313201123002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307800 + ... + 1528640.

It is an arithmetic number, because the mean of its divisors is an integer number (13196781780).

Almost surely, 2313201123020 is an apocalyptic number.

313201123020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313201123020 is an abundant number, since it is smaller than the sum of its proper divisors (636967165140).

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

313201123020 is a wasteful number, since it uses less digits than its factorization.

313201123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228735 (or 228730 counting only the distinct ones).

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

Adding to 313201123020 its reverse (20321102313), we get a palindrome (333522225333).

The spelling of 313201123020 in words is "three hundred thirteen billion, two hundred one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7879 15758 23637 31516 39395 47274 70911 78790 94548 118185 141822 157580 220841 236370 283644 354555 441682 472740 662523 709110 883364 1104205 1325046 1418220 1987569 2208410 2650092 3312615 3975138 4416820 6625230 7950276 9937845 13250460 19875690 39751380 1740006239 3480012478 5220018717 6960024956 8700031195 10440037434 15660056151 17400062390 20880074868 26100093585 31320112302 34800124780 52200187170 62640224604 78300280755 104400374340 156600561510 313201123020