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313012031220 = 2232571991248353
BaseRepresentation
bin1001000111000001111…
…10001000111011110100
31002220221100100200221100
410203200332020323310
520112022034444340
6355443514050100
731420505236410
oct4434076107364
91086840320840
10313012031220
11110825149a09
12507b7119930
1323694853875
141121531dd40
15821ebda830
hex48e0f88ef4

313012031220 has 144 divisors (see below), whose sum is σ = 1090562054400. Its totient is φ = 71186024448.

The previous prime is 313012031219. The next prime is 313012031237. The reversal of 313012031220 is 22130210313.

313012031220 is a `hidden beast` number, since 31 + 301 + 2 + 0 + 312 + 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 = 313012031193 and 313012031202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 373437 + ... + 874916.

It is an arithmetic number, because the mean of its divisors is an integer number (7573347600).

Almost surely, 2313012031220 is an apocalyptic number.

313012031220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313012031220 is an abundant number, since it is smaller than the sum of its proper divisors (777550023180).

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

313012031220 is a wasteful number, since it uses less digits than its factorization.

313012031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248574 (or 1248569 counting only the distinct ones).

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

Adding to 313012031220 its reverse (22130210313), we get a palindrome (335142241533).

The spelling of 313012031220 in words is "three hundred thirteen billion, twelve million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 199 210 252 315 398 420 597 630 796 995 1194 1260 1393 1791 1990 2388 2786 2985 3582 3980 4179 5572 5970 6965 7164 8358 8955 11940 12537 13930 16716 17910 20895 25074 27860 35820 41790 50148 62685 83580 125370 250740 1248353 2496706 3745059 4993412 6241765 7490118 8738471 11235177 12483530 14980236 17476942 18725295 22470354 24967060 26215413 34953884 37450590 43692355 44940708 52430826 56175885 74901180 78646239 87384710 104861652 112351770 131077065 157292478 174769420 224703540 248422247 262154130 314584956 393231195 496844494 524308260 745266741 786462390 993688988 1242111235 1490533482 1572924780 1738955729 2235800223 2484222470 2981066964 3477911458 3726333705 4471600446 4968444940 5216867187 6955822916 7452667410 8694778645 8943200892 10433734374 11179001115 14905334820 15650601561 17389557290 20867468748 22358002230 26084335935 31301203122 34779114580 44716004460 52168671870 62602406244 78253007805 104337343740 156506015610 313012031220