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312204441132 = 223235521244147
BaseRepresentation
bin1001000101100001101…
…01011011011000101100
31002211212001201212121100
410202300311123120230
520103343314104012
6355231424403100
731361500651353
oct4426065333054
91084761655540
10312204441132
111104502a4591
1250610776490
1323596443ccc
1411179d7a99a
1581c3d648dc
hex48b0d5b62c

312204441132 has 36 divisors (see below), whose sum is σ = 789208898296. Its totient is φ = 104064791040.

The previous prime is 312204441127. The next prime is 312204441163. The reversal of 312204441132 is 231144402213.

312204441132 is a `hidden beast` number, since 3 + 1 + 2 + 204 + 441 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3122044411322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312204441096 and 312204441105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1156683 + ... + 1400829.

Almost surely, 2312204441132 is an apocalyptic number.

It is an amenable number.

312204441132 is an abundant number, since it is smaller than the sum of its proper divisors (477004457164).

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

312204441132 is a wasteful number, since it uses less digits than its factorization.

312204441132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279678 (or 279673 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312204441132 its reverse (231144402213), we get a palindrome (543348843345).

The spelling of 312204441132 in words is "three hundred twelve billion, two hundred four million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 35521 71042 106563 142084 213126 244147 319689 426252 488294 639378 732441 976588 1278756 1464882 2197323 2929764 4394646 8789292 8672345587 17344691174 26017036761 34689382348 52034073522 78051110283 104068147044 156102220566 312204441132