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1312037136 = 243311172719
BaseRepresentation
bin100111000110100…
…0001100100010000
310101102211101121000
41032031001210100
510141340142021
6334105302000
744341063104
oct11615014420
93342741530
101312037136
11613679a13
12307494900
1317ba90b47
14c6375904
157a2bbb26
hex4e341910

1312037136 has 80 divisors (see below), whose sum is σ = 3770790400. Its totient is φ = 436793472.

The previous prime is 1312037123. The next prime is 1312037137. The reversal of 1312037136 is 6317302131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1312037137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481185 + ... + 483903.

It is an arithmetic number, because the mean of its divisors is an integer number (47134880).

Almost surely, 21312037136 is an apocalyptic number.

1312037136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885395200).

1312037136 is an abundant number, since it is smaller than the sum of its proper divisors (2458753264).

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

1312037136 is a wasteful number, since it uses less digits than its factorization.

1312037136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1312037136 is about 36222.0531720663. The cubic root of 1312037136 is about 1094.7510636966.

Adding to 1312037136 its reverse (6317302131), we get a palindrome (7629339267).

The spelling of 1312037136 in words is "one billion, three hundred twelve million, thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1117 2234 2719 3351 4468 5438 6702 8157 8936 10053 10876 13404 16314 17872 20106 21752 24471 26808 30159 32628 40212 43504 48942 53616 60318 65256 73413 80424 97884 120636 130512 146826 160848 195768 241272 293652 391536 482544 587304 1174608 3037123 6074246 9111369 12148492 18222738 24296984 27334107 36445476 48593968 54668214 72890952 82002321 109336428 145781904 164004642 218672856 328009284 437345712 656018568 1312037136