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1313103627 = 321138334631
BaseRepresentation
bin100111001000100…
…0101111100001011
310101111211120112200
41032101011330023
510142123304002
6334144211243
744353124313
oct11621057413
93344746480
101313103627
11614238210
12307909b23
1317c0753c4
14c6572443
157a42cb1c
hex4e445f0b

1313103627 has 24 divisors (see below), whose sum is σ = 2074595328. Its totient is φ = 793719600.

The previous prime is 1313103593. The next prime is 1313103653. The reversal of 1313103627 is 7263013131.

1313103627 is a `hidden beast` number, since 1 + 3 + 1 + 31 + 0 + 3 + 627 = 666.

It is not a de Polignac number, because 1313103627 - 26 = 1313103563 is a prime.

It is a super-2 number, since 2×13131036272 = 3448482270481110258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313103627.

It is not an unprimeable number, because it can be changed into a prime (1313103667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20602 + ... + 55232.

It is an arithmetic number, because the mean of its divisors is an integer number (86441472).

Almost surely, 21313103627 is an apocalyptic number.

1313103627 is a deficient number, since it is larger than the sum of its proper divisors (761491701).

1313103627 is a wasteful number, since it uses less digits than its factorization.

1313103627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35031 (or 35028 counting only the distinct ones).

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

The square root of 1313103627 is about 36236.7717519097. The cubic root of 1313103627 is about 1095.0476066123.

Adding to 1313103627 its reverse (7263013131), we get a palindrome (8576116758).

The spelling of 1313103627 in words is "one billion, three hundred thirteen million, one hundred three thousand, six hundred twenty-seven".

Divisors: 1 3 9 11 33 99 383 1149 3447 4213 12639 34631 37917 103893 311679 380941 1142823 3428469 13263673 39791019 119373057 145900403 437701209 1313103627