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1311323142312 = 233218212821421
BaseRepresentation
bin10011000101010000111…
…100110011100010101000
311122100202100211200101100
4103011100330303202220
5132441042211023222
62442225153521400
7163511544541161
oct23052074634250
94570670750340
101311323142312
11466146800647
12192187573260
1396870c63351
144767b334768
152419d0454ac
hex13150f338a8

1311323142312 has 24 divisors (see below), whose sum is σ = 3551500177290. Its totient is φ = 437107714080.

The previous prime is 1311323142307. The next prime is 1311323142331. The reversal of 1311323142312 is 2132413231131.

1311323142312 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 231 + 423 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1222116984036 + 89206158276 = 1105494^2 + 298674^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9106410639 + ... + 9106410782.

Almost surely, 21311323142312 is an apocalyptic number.

1311323142312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311323142312 is an abundant number, since it is smaller than the sum of its proper divisors (2240177034978).

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

1311323142312 is a wasteful number, since it uses less digits than its factorization.

1311323142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18212821433 (or 18212821426 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1311323142312 its reverse (2132413231131), we get a palindrome (3443736373443).

The spelling of 1311323142312 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18212821421 36425642842 54638464263 72851285684 109276928526 145702571368 163915392789 218553857052 327830785578 437107714104 655661571156 1311323142312