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312332241112031 = 75943313001134339
BaseRepresentation
bin100011100000100001000010…
…0010010001000101111011111
31111221212200002220021220112002
41013001002010102020233133
5311414222412211041111
63024135241210232515
7122534155045402220
oct10701020422105737
91457780086256462
10312332241112031
11905783a5694258
122b0440b772573b
1310537a5b3b278a
14571ad654a1247
1526197296a563b
hex11c1084488bdf

312332241112031 has 32 divisors (see below), whose sum is σ = 363870185817600. Its totient is φ = 262545888384000.

The previous prime is 312332241112027. The next prime is 312332241112201. The reversal of 312332241112031 is 130211142233213.

It is a cyclic number.

It is not a de Polignac number, because 312332241112031 - 22 = 312332241112027 is a prime.

It is a super-2 number, since 2×3123322411120312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312332241111985 and 312332241112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332241112531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2324888660 + ... + 2325022998.

It is an arithmetic number, because the mean of its divisors is an integer number (11370943306800).

Almost surely, 2312332241112031 is an apocalyptic number.

312332241112031 is a deficient number, since it is larger than the sum of its proper divisors (51537944705569).

312332241112031 is a wasteful number, since it uses less digits than its factorization.

312332241112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147839.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 312332241112031 its reverse (130211142233213), we get a palindrome (442543383345244).

The spelling of 312332241112031 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred forty-one million, one hundred twelve thousand, thirty-one".

Divisors: 1 7 59 413 433 3031 13001 25547 91007 134339 178829 767059 940373 5369413 5629433 7926001 39406031 55482007 58168787 332136547 407181509 1746541339 2324955829 3431958433 12225789373 24023709031 103045939001 721321573007 756252399787 5293766798509 44618891587433 312332241112031