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312113211220 = 225176115048853
BaseRepresentation
bin1001000101010110110…
…01011010011101010100
31002211121201001220200201
410202223121122131110
520103201440224340
6355214405150244
731356312344056
oct4425331323524
91084551056621
10312113211220
11110403853168
12505a60bb384
1323580581305
141116bbcd8d6
1581bad4379a
hex48ab65a754

312113211220 has 48 divisors (see below), whose sum is σ = 705369884688. Its totient is φ = 115575183360.

The previous prime is 312113211211. The next prime is 312113211229. The reversal of 312113211220 is 22112311213.

It is an interprime number because it is at equal distance from previous prime (312113211211) and next prime (312113211229).

It can be written as a sum of positive squares in 8 ways, for example, as 76643707716 + 235469503504 = 276846^2 + 485252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113211229) 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 15 ways as a sum of consecutive naturals, for example, 7503687 + ... + 7545166.

It is an arithmetic number, because the mean of its divisors is an integer number (14695205931).

Almost surely, 2312113211220 is an apocalyptic number.

It is an amenable number.

312113211220 is an abundant number, since it is smaller than the sum of its proper divisors (393256673468).

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

312113211220 is a wasteful number, since it uses less digits than its factorization.

312113211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048940 (or 15048938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312113211220 its reverse (22112311213), we get a palindrome (334225522433).

The spelling of 312113211220 in words is "three hundred twelve billion, one hundred thirteen million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 5185 10370 20740 15048853 30097706 60195412 75244265 150488530 255830501 300977060 511661002 917980033 1023322004 1279152505 1835960066 2558305010 3671920132 4589900165 5116610020 9179800330 15605660561 18359600660 31211321122 62422642244 78028302805 156056605610 312113211220