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13140110610 = 23251172718257
BaseRepresentation
bin11000011110011011…
…00010110100010010
31020220202102210002100
430033031202310102
5203402332014420
610011514101230
7643424045244
oct141715426422
936822383070
1013140110610
115633282650
12266871a816
13131541a4a3
148c91dc094
1551d8cb190
hex30f362d12

13140110610 has 96 divisors (see below), whose sum is σ = 37323441792. Its totient is φ = 3180925440.

The previous prime is 13140110609. The next prime is 13140110707. The reversal of 13140110610 is 1601104131.

13140110610 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 1 + 10 + 610 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710602 + ... + 728858.

It is an arithmetic number, because the mean of its divisors is an integer number (388785852).

Almost surely, 213140110610 is an apocalyptic number.

13140110610 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 13140110610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661720896).

13140110610 is an abundant number, since it is smaller than the sum of its proper divisors (24183331182).

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

13140110610 is a wasteful number, since it uses less digits than its factorization.

13140110610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19008 (or 19005 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13140110610 its reverse (1601104131), we get a palindrome (14741214741).

The spelling of 13140110610 in words is "thirteen billion, one hundred forty million, one hundred ten thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 727 990 1454 2181 3635 4362 6543 7270 7997 10905 13086 15994 18257 21810 23991 32715 36514 39985 47982 54771 65430 71973 79970 91285 109542 119955 143946 164313 182570 200827 239910 273855 328626 359865 401654 547710 602481 719730 821565 1004135 1204962 1643130 1807443 2008270 3012405 3614886 6024810 9037215 13272839 18074430 26545678 39818517 66364195 79637034 119455551 132728390 146001229 199092585 238911102 292002458 398185170 438003687 597277755 730006145 876007374 1194555510 1314011061 1460012290 2190018435 2628022122 4380036870 6570055305 13140110610