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1313012052 = 2233114325703
BaseRepresentation
bin100111001000010…
…1111100101010100
310101111122220221000
41032100233211110
510142112341202
6334142223300
744352263322
oct11620574524
93344586830
101313012052
11614185430
12307884b30
1317c042811
14c654ad12
157a41091c
hex4e42f954

1313012052 has 96 divisors (see below), whose sum is σ = 3800079360. Its totient is φ = 388614240.

The previous prime is 1313012039. The next prime is 1313012053. The reversal of 1313012052 is 2502103131.

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 (1313012053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38233 + ... + 63935.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 21313012052 is an apocalyptic number.

1313012052 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 1313012052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900039680).

1313012052 is an abundant number, since it is smaller than the sum of its proper divisors (2487067308).

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

1313012052 is a wasteful number, since it uses less digits than its factorization.

1313012052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25770 (or 25762 counting only the distinct ones).

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

The square root of 1313012052 is about 36235.5081653342. The cubic root of 1313012052 is about 1095.0221500492.

Adding to 1313012052 its reverse (2502103131), we get a palindrome (3815115183).

The spelling of 1313012052 in words is "one billion, three hundred thirteen million, twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 25703 51084 51406 77109 102812 154218 231327 282733 308436 462654 565466 693981 848199 925308 1105229 1130932 1387962 1696398 2210458 2544597 2775924 3315687 3392796 4420916 5089194 6631374 7633791 9947061 10178388 12157519 13262748 15267582 19894122 24315038 29841183 30535164 36472557 39788244 48630076 59682366 72945114 109417671 119364732 145890228 218835342 328253013 437670684 656506026 1313012052