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1312185348 = 2232976132
BaseRepresentation
bin100111000110110…
…0101110000000100
310101110002220220100
41032031211300010
510141404412343
6334112404100
744342251155
oct11615456004
93343086810
101312185348
11613770301
12307546630
1317bb13446
14c63b392c
157a2ea9d3
hex4e365c04

1312185348 has 54 divisors (see below), whose sum is σ = 3356583594. Its totient is φ = 432179712.

The previous prime is 1312185313. The next prime is 1312185349. The reversal of 1312185348 is 8435812131.

1312185348 is a `hidden beast` number, since 131 + 2 + 185 + 348 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 163788804 + 1148396544 = 12798^2 + 33888^2 .

It is a super-2 number, since 2×13121853482 = 3443660775011762208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1312185349) 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 17 ways as a sum of consecutive naturals, for example, 2140290 + ... + 2140902.

Almost surely, 21312185348 is an apocalyptic number.

1312185348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1312185348 is an abundant number, since it is smaller than the sum of its proper divisors (2044398246).

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

1312185348 is an equidigital number, since it uses as much as digits as its factorization.

1312185348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 715 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1312185348 is about 36224.0989950061. The cubic root of 1312185348 is about 1094.7922843630.

Adding to 1312185348 its reverse (8435812131), we get a palindrome (9747997479).

The spelling of 1312185348 in words is "one billion, three hundred twelve million, one hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 613 873 1164 1226 1746 1839 2452 3492 3678 5517 7356 11034 22068 59461 118922 178383 237844 356766 375769 535149 713532 751538 1070298 1127307 1503076 2140596 2254614 3381921 4509228 6763842 13527684 36449593 72899186 109348779 145798372 218697558 328046337 437395116 656092674 1312185348