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13313062530 = 2335317012269
BaseRepresentation
bin11000110011000010…
…10011011010000010
31021100210212122112000
430121201103122002
5204231121000110
610041013044430
7650624110245
oct143141233202
937323778460
1013313062530
115711970a19
1226b6626716
1313421c42c1
1490417d25c
1552db911c0
hex319853682

13313062530 has 128 divisors (see below), whose sum is σ = 36715161600. Its totient is φ = 3429216000.

The previous prime is 13313062517. The next prime is 13313062549. The reversal of 13313062530 is 3526031331.

It is a happy number.

13313062530 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 0 + 625 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13313062494 and 13313062503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5866236 + ... + 5868504.

It is an arithmetic number, because the mean of its divisors is an integer number (286837200).

Almost surely, 213313062530 is an apocalyptic number.

13313062530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313062530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357580800).

13313062530 is an abundant number, since it is smaller than the sum of its proper divisors (23402099070).

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

13313062530 is a wasteful number, since it uses less digits than its factorization.

13313062530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 13313062530 its reverse (3526031331), we get a palindrome (16839093861).

The spelling of 13313062530 in words is "thirteen billion, three hundred thirteen million, sixty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 701 837 930 1395 1402 1674 2103 2269 2790 3505 4185 4206 4538 6309 6807 7010 8370 10515 11345 12618 13614 18927 20421 21030 21731 22690 31545 34035 37854 40842 43462 61263 63090 65193 68070 70339 94635 102105 108655 122526 130386 140678 189270 195579 204210 211017 217310 306315 325965 351695 391158 422034 586737 612630 633051 651930 703390 977895 1055085 1173474 1266102 1590569 1899153 1955790 2110170 2933685 3165255 3181138 3798306 4771707 5867370 6330510 7952845 9495765 9543414 14315121 15905690 18991530 23858535 28630242 42945363 47717070 49307639 71575605 85890726 98615278 143151210 147922917 214726815 246538195 295845834 429453630 443768751 493076390 739614585 887537502 1331306253 1479229170 2218843755 2662612506 4437687510 6656531265 13313062530