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1311312312 = 233218212671
BaseRepresentation
bin100111000101001…
…0000100110111000
310101101110120022200
41032022100212320
510141143443222
6334041550200
744331653652
oct11612204670
93341416280
101311312312
11613224392
123071a5360
1317b898c5b
14c62276d2
157a1c6eac
hex4e2909b8

1311312312 has 24 divisors (see below), whose sum is σ = 3551471040. Its totient is φ = 437104080.

The previous prime is 1311312283. The next prime is 1311312313. The reversal of 1311312312 is 2132131131.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311312313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9106264 + ... + 9106407.

It is an arithmetic number, because the mean of its divisors is an integer number (147977960).

Almost surely, 21311312312 is an apocalyptic number.

1311312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311312312 is an abundant number, since it is smaller than the sum of its proper divisors (2240158728).

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

1311312312 is a wasteful number, since it uses less digits than its factorization.

1311312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18212683 (or 18212676 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311312312 is about 36212.0465038915. The cubic root of 1311312312 is about 1094.5494311896.

Adding to 1311312312 its reverse (2132131131), we get a palindrome (3443443443).

It can be divided in two parts, 13113 and 12312, that added together give a triangular number (25425 = T225).

The spelling of 1311312312 in words is "one billion, three hundred eleven million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18212671 36425342 54638013 72850684 109276026 145701368 163914039 218552052 327828078 437104104 655656156 1311312312