Search a number
-
+
13117267217265 = 3512171846138923
BaseRepresentation
bin1011111011100001101000…
…0011011000101101110001
31201102222221220110101121120
42332320122003120231301
53204403130401423030
643521553412012453
72522456052452241
oct276703203305561
951388856411546
1013117267217265
1141a8002417792
12157a26a301129
13741c5094b583
14334c44443b21
1517b32477e010
hexbee1a0d8b71

13117267217265 has 32 divisors (see below), whose sum is σ = 21006550406016. Its totient is φ = 6989569167360.

The previous prime is 13117267217251. The next prime is 13117267217273. The reversal of 13117267217265 is 56271276271131.

It is not a de Polignac number, because 13117267217265 - 27 = 13117267217137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336986094 + ... + 337025016.

It is an arithmetic number, because the mean of its divisors is an integer number (656454700188).

Almost surely, 213117267217265 is an apocalyptic number.

13117267217265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13117267217265 is a deficient number, since it is larger than the sum of its proper divisors (7889283188751).

13117267217265 is a wasteful number, since it uses less digits than its factorization.

13117267217265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58609.

The product of its digits is 1481760, while the sum is 51.

The spelling of 13117267217265 in words is "thirteen trillion, one hundred seventeen billion, two hundred sixty-seven million, two hundred seventeen thousand, two hundred sixty-five".

Divisors: 1 3 5 15 1217 3651 6085 18255 18461 38923 55383 92305 116769 194615 276915 583845 22467037 47369291 67401111 112335185 142107873 236846455 337005555 710539365 718557503 2155672509 3592787515 10778362545 874484481151 2623453443453 4372422405755 13117267217265