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13112430760 = 23511132519133
BaseRepresentation
bin11000011011000111…
…11101000010101000
31020211211100111110201
430031203331002220
5203323240241020
610005044521544
7642636552052
oct141543750250
936754314421
1013112430760
115619697340
12265b3b02b4
13130c778590
148c56748d2
1551b25ea0a
hex30d8fd0a8

13112430760 has 128 divisors (see below), whose sum is σ = 34802732160. Its totient is φ = 4383360000.

The previous prime is 13112430757. The next prime is 13112430763. The reversal of 13112430760 is 6703421131.

It is an interprime number because it is at equal distance from previous prime (13112430757) and next prime (13112430763).

It is not an unprimeable number, because it can be changed into a prime (13112430763) 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, 1431154 + ... + 1440286.

It is an arithmetic number, because the mean of its divisors is an integer number (271896345).

Almost surely, 213112430760 is an apocalyptic number.

13112430760 is a gapful number since it is divisible by the number (10) 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 13112430760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401366080).

13112430760 is an abundant number, since it is smaller than the sum of its proper divisors (21690301400).

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

13112430760 is a wasteful number, since it uses less digits than its factorization.

13112430760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 13112430760 its reverse (6703421131), we get a palindrome (19815851891).

The spelling of 13112430760 in words is "thirteen billion, one hundred twelve million, four hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 251 260 286 440 502 520 572 715 1004 1144 1255 1430 2008 2510 2761 2860 3263 5020 5522 5720 6526 9133 10040 11044 13052 13805 16315 18266 22088 26104 27610 32630 35893 36532 45665 55220 65260 71786 73064 91330 100463 110440 118729 130520 143572 179465 182660 200926 237458 287144 358930 365320 401852 474916 502315 593645 717860 803704 949832 1004630 1187290 1306019 1435720 2009260 2292383 2374580 2612038 4018520 4584766 4749160 5224076 6530095 9169532 10448152 11461915 13060190 18339064 22923830 25216213 26120380 29800979 45847660 50432426 52240760 59601958 91695320 100864852 119203916 126081065 149004895 201729704 238407832 252162130 298009790 327810769 504324260 596019580 655621538 1008648520 1192039160 1311243076 1639053845 2622486152 3278107690 6556215380 13112430760