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312231431130000 = 2435411392103667
BaseRepresentation
bin100011011111110010000101…
…1100010100100101110010000
31111221112000220021112012210220
41012333210023202210232100
5311411044432332130000
63024021050030353040
7122523655634604114
oct10677441342445620
91457460807465726
10312231431130000
119053967401a718
122b02866265b780
131052b3b3b36835
145716120a37744
152616cc92c11a0
hex11bf90b8a4b90

312231431130000 has 200 divisors, whose sum is σ = 1016844389112288. Its totient is φ = 82524884736000.

The previous prime is 312231431129987. The next prime is 312231431130023. The reversal of 312231431130000 is 31134132213.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42661834 + ... + 49441833.

Almost surely, 2312231431130000 is an apocalyptic number.

312231431130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312231431130000 is an abundant number, since it is smaller than the sum of its proper divisors (704612957982288).

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

312231431130000 is a wasteful number, since it uses less digits than its factorization.

312231431130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92103811 (or 92103790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312231431130000 its reverse (31134132213), we get a palindrome (312262565262213).

The spelling of 312231431130000 in words is "three hundred twelve trillion, two hundred thirty-one billion, four hundred thirty-one million, one hundred thirty thousand".