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1313104032 = 25324559389
BaseRepresentation
bin100111001000100…
…0110000010100000
310101111211121002200
41032101012002200
510142123312112
6334144213200
744353125432
oct11621060240
93344747080
101313104032
11614238549
1230790a200
1317c075646
14c6572652
157a42ccdc
hex4e4460a0

1313104032 has 36 divisors (see below), whose sum is σ = 3734140410. Its totient is φ = 437701248.

The previous prime is 1313104031. The next prime is 1313104061. The reversal of 1313104032 is 2304013131.

It can be written as a sum of positive squares in only one way, i.e., 1302055056 + 11048976 = 36084^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1313103996 and 1313104014.

It is not an unprimeable number, because it can be changed into a prime (1313104031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2279407 + ... + 2279982.

Almost surely, 21313104032 is an apocalyptic number.

1313104032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313104032 is an abundant number, since it is smaller than the sum of its proper divisors (2421036378).

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

1313104032 is a wasteful number, since it uses less digits than its factorization.

1313104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559405 (or 4559394 counting only the distinct ones).

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

The square root of 1313104032 is about 36236.7773401554. Note that the first 3 decimals coincide. The cubic root of 1313104032 is about 1095.0477191939.

Adding to 1313104032 its reverse (2304013131), we get a palindrome (3617117163).

Subtracting 1313104032 from its reverse (2304013131), we obtain a palindrome (990909099).

The spelling of 1313104032 in words is "one billion, three hundred thirteen million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4559389 9118778 13678167 18237556 27356334 36475112 41034501 54712668 72950224 82069002 109425336 145900448 164138004 218850672 328276008 437701344 656552016 1313104032