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13160606130 = 2325735958189
BaseRepresentation
bin11000100000110111…
…01110100110110010
31020222012000001122200
430100123232212302
5203423103344010
610013525244030
7644063210040
oct142033564662
936865001580
1013160606130
1156439011a1
122673563616
131319745309
148cbc15390
155205c8cc0
hex3106ee9b2

13160606130 has 96 divisors (see below), whose sum is σ = 39215404800. Its totient is φ = 2999707776.

The previous prime is 13160606071. The next prime is 13160606153. The reversal of 13160606130 is 3160606131.

It is a happy number.

13160606130 is a `hidden beast` number, since 13 + 16 + 0 + 606 + 1 + 30 = 666.

13160606130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13160606094 and 13160606103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197076 + ... + 255264.

It is an arithmetic number, because the mean of its divisors is an integer number (408493800).

Almost surely, 213160606130 is an apocalyptic number.

13160606130 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 13160606130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607702400).

13160606130 is an abundant number, since it is smaller than the sum of its proper divisors (26054798670).

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

13160606130 is a wasteful number, since it uses less digits than its factorization.

13160606130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58568 (or 58565 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Subtracting from 13160606130 its reverse (3160606131), we obtain a palindrome (9999999999).

The spelling of 13160606130 in words is "thirteen billion, one hundred sixty million, six hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 359 630 718 1077 1795 2154 2513 3231 3590 5026 5385 6462 7539 10770 12565 15078 16155 22617 25130 32310 37695 45234 58189 75390 113085 116378 174567 226170 290945 349134 407323 523701 581890 814646 872835 1047402 1221969 1745670 2036615 2443938 2618505 3665907 4073230 5237010 6109845 7331814 12219690 18329535 20889851 36659070 41779702 62669553 104449255 125339106 146228957 188008659 208898510 292457914 313347765 376017318 438686871 626695530 731144785 877373742 940043295 1316060613 1462289570 1880086590 2193434355 2632121226 4386868710 6580303065 13160606130