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1312135152 = 24343976217
BaseRepresentation
bin100111000110101…
…1001011111110000
310101110000101001020
41032031121133300
510141401311102
6334111335440
744341651626
oct11615313760
93343011036
101312135152
11613736619
12307521580
1317bac6643
14c639d516
157a2dabbc
hex4e3597f0

1312135152 has 40 divisors (see below), whose sum is σ = 3390998736. Its totient is φ = 437208576.

The previous prime is 1312135147. The next prime is 1312135159. The reversal of 1312135152 is 2515312131.

It is a super-2 number, since 2×13121351522 = 3443397314228126208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312135159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207948 + ... + 214164.

Almost surely, 21312135152 is an apocalyptic number.

1312135152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312135152 is an abundant number, since it is smaller than the sum of its proper divisors (2078863584).

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

1312135152 is a wasteful number, since it uses less digits than its factorization.

1312135152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625 (or 10619 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 1312135152 is about 36223.4061347080. The cubic root of 1312135152 is about 1094.7783242177.

Adding to 1312135152 its reverse (2515312131), we get a palindrome (3827447283).

The spelling of 1312135152 in words is "one billion, three hundred twelve million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4397 6217 8794 12434 13191 17588 18651 24868 26382 35176 37302 49736 52764 70352 74604 99472 105528 149208 211056 298416 27336149 54672298 82008447 109344596 164016894 218689192 328033788 437378384 656067576 1312135152