Search a number
-
+
312220231120 = 24572711205657
BaseRepresentation
bin1001000101100011100…
…01101010010111010000
31002211220011110002101201
410202301301222113100
520103411334343440
6355233151040544
731362052114330
oct4426161522720
91084804402351
10312220231120
111104591a9866
1250615b10154
13235997b20b5
141117c0cb0c0
1581c543319a
hex48b1c6a5d0

312220231120 has 80 divisors (see below), whose sum is σ = 829923810048. Its totient is φ = 107006929920.

The previous prime is 312220231097. The next prime is 312220231123. The reversal of 312220231120 is 21132022213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220231123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415332 + ... + 1620988.

Almost surely, 2312220231120 is an apocalyptic number.

It is an amenable number.

312220231120 is an abundant number, since it is smaller than the sum of its proper divisors (517703578928).

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

312220231120 is a wasteful number, since it uses less digits than its factorization.

312220231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208388 (or 208382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 312220231120 its reverse (21132022213), we get a palindrome (333352253333).

The spelling of 312220231120 in words is "three hundred twelve billion, two hundred twenty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2711 5422 10844 13555 18977 21688 27110 37954 43376 54220 75908 94885 108440 151816 189770 205657 216880 303632 379540 411314 759080 822628 1028285 1439599 1518160 1645256 2056570 2879198 3290512 4113140 5758396 7197995 8226280 11516792 14395990 16452560 23033584 28791980 57583960 115167920 557536127 1115072254 2230144508 2787680635 3902752889 4460289016 5575361270 7805505778 8920578032 11150722540 15611011556 19513764445 22301445080 31222023112 39027528890 44602890160 62444046224 78055057780 156110115560 312220231120