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1312314132 = 223536433209
BaseRepresentation
bin100111000111000…
…0101001100010100
310101110100110120010
41032032011030110
510141423023012
6334115240220
744343325503
oct11616051424
93343313503
101312314132
11613849038
123075a9070
1317bb59c4c
14c640883a
157a323c3c
hex4e385314

1312314132 has 48 divisors (see below), whose sum is σ = 3125666880. Its totient is φ = 428383488.

The previous prime is 1312314127. The next prime is 1312314137. The reversal of 1312314132 is 2314132131.

It is an interprime number because it is at equal distance from previous prime (1312314127) and next prime (1312314137).

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

It is a junction number, because it is equal to n+sod(n) for n = 1312314099 and 1312314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312314137) 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 15 ways as a sum of consecutive naturals, for example, 407344 + ... + 410552.

It is an arithmetic number, because the mean of its divisors is an integer number (65118060).

Almost surely, 21312314132 is an apocalyptic number.

1312314132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312314132 is an abundant number, since it is smaller than the sum of its proper divisors (1813352748).

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

1312314132 is a wasteful number, since it uses less digits than its factorization.

1312314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3910 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1312314132 is about 36225.8765525418. The cubic root of 1312314132 is about 1094.8280992011.

Adding to 1312314132 its reverse (2314132131), we get a palindrome (3626446263).

The spelling of 1312314132 in words is "one billion, three hundred twelve million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 643 1286 1929 2572 3209 3858 6418 7716 9627 12836 19254 34079 38508 68158 102237 136316 170077 204474 340154 408948 510231 680308 1020462 2040924 2063387 4126774 6190161 8253548 12380322 24760644 109359511 218719022 328078533 437438044 656157066 1312314132