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312322113220 = 225131993602729
BaseRepresentation
bin1001000101101111101…
…10010011111011000100
31002212011021011020100211
410202313312103323010
520104113430110340
6355251230445204
731364430105565
oct4426766237304
91085137136324
10312322113220
11110500766347
1250644063804
13235b4934470
141118b84c16c
1581ce35a5ea
hex48b7d93ec4

312322113220 has 48 divisors (see below), whose sum is σ = 706684048560. Its totient is φ = 115260880896.

The previous prime is 312322113179. The next prime is 312322113227. The reversal of 312322113220 is 22311223213.

It can be written as a sum of positive squares in 8 ways, for example, as 21341703744 + 290980409476 = 146088^2 + 539426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312322113191 and 312322113200.

It is not an unprimeable number, because it can be changed into a prime (312322113227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216816 + ... + 819544.

It is an arithmetic number, because the mean of its divisors is an integer number (14722584345).

Almost surely, 2312322113220 is an apocalyptic number.

It is an amenable number.

312322113220 is an abundant number, since it is smaller than the sum of its proper divisors (394361935340).

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

312322113220 is a wasteful number, since it uses less digits than its factorization.

312322113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604744 (or 604742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312322113220 its reverse (22311223213), we get a palindrome (334633336433).

It can be divided in two parts, 3123221 and 13220, that added together give a square (3136441 = 17712).

The spelling of 312322113220 in words is "three hundred twelve billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1993 3986 7972 9965 19930 25909 39860 51818 103636 129545 259090 518180 602729 1205458 2410916 3013645 6027290 7835477 12054580 15670954 31341908 39177385 78354770 156709540 1201238897 2402477794 4804955588 6006194485 12012388970 15616105661 24024777940 31232211322 62464422644 78080528305 156161056610 312322113220