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313012022220 = 223354712333019
BaseRepresentation
bin1001000111000001111…
…10000110101111001100
31002220221100100020121000
410203200332012233030
520112022034202340
6355443513540300
731420505201232
oct4434076065714
91086840306530
10313012022220
11110825143177
12507b7114690
132369484c741
141121531a952
15821ebd7d30
hex48e0f86bcc

313012022220 has 96 divisors (see below), whose sum is σ = 994534732800. Its totient is φ = 81693911232.

The previous prime is 313012022207. The next prime is 313012022227. The reversal of 313012022220 is 22220210313.

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 = 313012022193 and 313012022202.

It is not an unprimeable number, because it can be changed into a prime (313012022227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6141130 + ... + 6191889.

It is an arithmetic number, because the mean of its divisors is an integer number (10359736800).

Almost surely, 2313012022220 is an apocalyptic number.

313012022220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313012022220 is an abundant number, since it is smaller than the sum of its proper divisors (681522710580).

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

313012022220 is a wasteful number, since it uses less digits than its factorization.

313012022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333084 (or 12333076 counting only the distinct ones).

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

Adding to 313012022220 its reverse (22220210313), we get a palindrome (335232232533).

The spelling of 313012022220 in words is "three hundred thirteen billion, twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 5076 6345 8460 12690 25380 12333019 24666038 36999057 49332076 61665095 73998114 110997171 123330190 147996228 184995285 221994342 246660380 332991513 369990570 443988684 554985855 579651893 665983026 739981140 1109971710 1159303786 1331966052 1664957565 1738955679 2219943420 2318607572 2898259465 3329915130 3477911358 5216867037 5796518930 6659830260 6955822716 8694778395 10433734074 11593037860 15650601111 17389556790 20867468148 26084335185 31301202222 34779113580 52168670370 62602404444 78253005555 104337340740 156506011110 313012022220