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1312213032 = 2332131401937
BaseRepresentation
bin100111000110110…
…1100100000101000
310101110011022212200
41032031230200220
510141411304112
6334113140200
744342424654
oct11615544050
93343138780
101312213032
1161378a089
1230755a660
1317bb22c20
14c63bda64
157a303cdc
hex4e36c828

1312213032 has 48 divisors (see below), whose sum is σ = 3827290740. Its totient is φ = 403757568.

The previous prime is 1312213031. The next prime is 1312213057. The reversal of 1312213032 is 2303122131.

It can be written as a sum of positive squares in 2 ways, for example, as 1265509476 + 46703556 = 35574^2 + 6834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312212996 and 1312213014.

It is not an unprimeable number, because it can be changed into a prime (1312213031) 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 11 ways as a sum of consecutive naturals, for example, 700033 + ... + 701904.

Almost surely, 21312213032 is an apocalyptic number.

1312213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312213032 is an abundant number, since it is smaller than the sum of its proper divisors (2515077708).

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

1312213032 is a wasteful number, since it uses less digits than its factorization.

1312213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401962 (or 1401955 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312213032 is about 36224.4811142962. The cubic root of 1312213032 is about 1094.7999834828.

Adding to 1312213032 its reverse (2303122131), we get a palindrome (3615335163).

Subtracting 1312213032 from its reverse (2303122131), we obtain a palindrome (990909099).

The spelling of 1312213032 in words is "one billion, three hundred twelve million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1401937 2803874 4205811 5607748 8411622 11215496 12617433 16823244 18225181 25234866 33646488 36450362 50469732 54675543 72900724 100939464 109351086 145801448 164026629 218702172 328053258 437404344 656106516 1312213032