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1313021052 = 2232722925667
BaseRepresentation
bin100111001000011…
…0001110001111100
310101111200101021100
41032100301301330
510142113133202
6334142333100
744352331500
oct11620616174
93344611240
101313021052
11614191172
1230788a190
1317c046945
14c6550300
157a41341c
hex4e431c7c

1313021052 has 108 divisors (see below), whose sum is σ = 3994197480. Its totient is φ = 362198592.

The previous prime is 1313021051. The next prime is 1313021053. The reversal of 1313021052 is 2501203131.

It is an interprime number because it is at equal distance from previous prime (1313021051) and next prime (1313021053).

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 (1313021051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38323 + ... + 63989.

It is an arithmetic number, because the mean of its divisors is an integer number (36983310).

Almost surely, 21313021052 is an apocalyptic number.

1313021052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313021052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997098740).

1313021052 is an abundant number, since it is smaller than the sum of its proper divisors (2681176428).

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

1313021052 is a wasteful number, since it uses less digits than its factorization.

1313021052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 25708 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1313021052 is about 36235.6323526995. The cubic root of 1313021052 is about 1095.0246519752.

Adding to 1313021052 its reverse (2501203131), we get a palindrome (3814224183).

The spelling of 1313021052 in words is "one billion, three hundred thirteen million, twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 25667 51156 51334 77001 102668 154002 179669 231003 308004 359338 462006 539007 718676 744343 924012 1078014 1257683 1488686 1617021 2156028 2233029 2515366 2977372 3234042 3773049 4466058 5030732 5210401 6468084 6699087 7546098 8932116 10420802 11319147 13398174 15092196 15631203 20841604 22638294 26796348 31262406 36472807 45276588 46893609 62524812 72945614 93787218 109418421 145891228 187574436 218836842 328255263 437673684 656510526 1313021052