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312142434220 = 225172933133331
BaseRepresentation
bin1001000101011010010…
…00111000111110101100
31002211200202001121010001
410202231020320332230
520103231430343340
6355221331354044
731360115625241
oct4425510707654
91084622047101
10312142434220
111104192a2901
12505b3a52924
1323586643726
1411171a395c8
1581bd6b729a
hex48ad238fac

312142434220 has 48 divisors (see below), whose sum is σ = 696426903648. Its totient is φ = 117111342080.

The previous prime is 312142434193. The next prime is 312142434229. The reversal of 312142434220 is 22434241213.

It is not an unprimeable number, because it can be changed into a prime (312142434229) 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, 1467046 + ... + 1666285.

It is an arithmetic number, because the mean of its divisors is an integer number (14508893826).

Almost surely, 2312142434220 is an apocalyptic number.

It is an amenable number.

312142434220 is an abundant number, since it is smaller than the sum of its proper divisors (384284469428).

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

312142434220 is a wasteful number, since it uses less digits than its factorization.

312142434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133650 (or 3133648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312142434220 its reverse (22434241213), we get a palindrome (334576675433).

The spelling of 312142434220 in words is "three hundred twelve billion, one hundred forty-two million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 293 340 586 1172 1465 2930 4981 5860 9962 19924 24905 49810 99620 3133331 6266662 12533324 15666655 31333310 53266627 62666620 106533254 213066508 266333135 532666270 918065983 1065332540 1836131966 3672263932 4590329915 9180659830 15607121711 18361319660 31214243422 62428486844 78035608555 156071217110 312142434220