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13130254514305 = 529416136206909
BaseRepresentation
bin1011111100010010000000…
…1001111111100010000001
31201111020111000100102220001
42333010200021333202001
53210111230123424210
643531542230520001
72523425642612065
oct277044011774201
951436430312801
1013130254514305
114202567406225
121580893806001
137432404c3316
14335717223aa5
1517b834a2203a
hexbf12027f881

13130254514305 has 32 divisors (see below), whose sum is σ = 16970902855200. Its totient is φ = 9732416870400.

The previous prime is 13130254514287. The next prime is 13130254514317. The reversal of 13130254514305 is 50341545203131.

It can be written as a sum of positive squares in 16 ways, for example, as 12113246807281 + 1017007707024 = 3480409^2 + 1008468^2 .

It is not a de Polignac number, because 13130254514305 - 215 = 13130254481537 is a prime.

It is a super-2 number, since 2×131302545143052 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17740810 + ... + 18466099.

It is an arithmetic number, because the mean of its divisors is an integer number (530340714225).

Almost surely, 213130254514305 is an apocalyptic number.

It is an amenable number.

13130254514305 is a deficient number, since it is larger than the sum of its proper divisors (3840648340895).

13130254514305 is a wasteful number, since it uses less digits than its factorization.

13130254514305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36207045.

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 13130254514305 its reverse (50341545203131), we get a palindrome (63471799717436).

The spelling of 13130254514305 in words is "thirteen trillion, one hundred thirty billion, two hundred fifty-four million, five hundred fourteen thousand, three hundred five".

Divisors: 1 5 29 41 61 145 205 305 1189 1769 2501 5945 8845 12505 72529 362645 36206909 181034545 1050000361 1484483269 2208621449 5250001805 7422416345 11043107245 43050014801 64050022021 90553479409 215250074005 320250110105 452767397045 2626050902861 13130254514305