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1312245252 = 2233311672347
BaseRepresentation
bin100111000110111…
…0100011000000100
310101110012222002000
41032031310120010
510141413322002
6334113545300
744342620623
oct11615643004
93343188060
101312245252
1161380130a
12307575230
1317bb347a6
14c63cb6ba
157a30d61c
hex4e374604

1312245252 has 96 divisors (see below), whose sum is σ = 3534397440. Its totient is φ = 420590880.

The previous prime is 1312245239. The next prime is 1312245257. The reversal of 1312245252 is 2525422131.

1312245252 is a `hidden beast` number, since 13 + 122 + 4 + 525 + 2 = 666.

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 (1312245257) 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 31 ways as a sum of consecutive naturals, for example, 557943 + ... + 560289.

It is an arithmetic number, because the mean of its divisors is an integer number (36816640).

Almost surely, 21312245252 is an apocalyptic number.

1312245252 is a gapful number since it is divisible by the number (12) 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 1312245252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767198720).

1312245252 is an abundant number, since it is smaller than the sum of its proper divisors (2222152188).

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

1312245252 is a wasteful number, since it uses less digits than its factorization.

1312245252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 1312245252 is about 36224.9258384334. The cubic root of 1312245252 is about 1094.8089439605.

Adding to 1312245252 its reverse (2525422131), we get a palindrome (3837667383).

The spelling of 1312245252 in words is "one billion, three hundred twelve million, two hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 167 186 279 334 372 501 558 668 837 1002 1116 1503 1674 2004 2347 3006 3348 4509 4694 5177 6012 7041 9018 9388 10354 14082 15531 18036 20708 21123 28164 31062 42246 46593 62124 63369 72757 84492 93186 126738 139779 145514 186372 218271 253476 279558 291028 391949 436542 559116 654813 783898 873084 1175847 1309626 1567796 1964439 2351694 2619252 3527541 3928878 4703388 7055082 7857756 10582623 12150419 14110164 21165246 24300838 36451257 42330492 48601676 72902514 109353771 145805028 218707542 328061313 437415084 656122626 1312245252