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1313123310 = 2325103141653
BaseRepresentation
bin100111001000100…
…1010101111101110
310101111212120112200
41032101022233232
510142124421220
6334144442330
744353235562
oct11621125756
93344776480
101313123310
11614250a84
123079193a6
1317c081355
14c65796a2
157a433890
hex4e44abee

1313123310 has 48 divisors (see below), whose sum is σ = 3447291744. Its totient is φ = 346764096.

The previous prime is 1313123309. The next prime is 1313123311. The reversal of 1313123310 is 133213131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313123309) and next prime (1313123311).

It is a super-2 number, since 2×13131233102 = 3448585654530712200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61557 + ... + 80096.

It is an arithmetic number, because the mean of its divisors is an integer number (71818578).

Almost surely, 21313123310 is an apocalyptic number.

1313123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313123310 is an abundant number, since it is smaller than the sum of its proper divisors (2134168434).

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

1313123310 is a wasteful number, since it uses less digits than its factorization.

1313123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141769 (or 141766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313123310 is about 36237.0433396545. The cubic root of 1313123310 is about 1095.0530780551.

Adding to 1313123310 its reverse (133213131), we get a palindrome (1446336441).

The spelling of 1313123310 in words is "one billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 141653 283306 424959 708265 849918 1274877 1416530 2124795 2549754 4249590 6374385 12748770 14590259 29180518 43770777 72951295 87541554 131312331 145902590 218853885 262624662 437707770 656561655 1313123310