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13140351141135 = 357114982807771
BaseRepresentation
bin1011111100110111100111…
…1101100100010100001111
31201112012112122221020002220
42333031321331210110033
53210242414343004020
643540332144350423
72524234102536651
oct277157175442417
951465478836086
1013140351141135
114206878718419
121582831015413
1374418c212b1a
14335dd413a6d1
1517bc2611a240
hexbf379f6450f

13140351141135 has 32 divisors (see below), whose sum is σ = 21463774502400. Its totient is φ = 6863107977600.

The previous prime is 13140351141107. The next prime is 13140351141149. The reversal of 13140351141135 is 53114115304131.

It is not a de Polignac number, because 13140351141135 - 28 = 13140351140879 is a prime.

It is a super-2 number, since 2×131403511411352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13140351141096 and 13140351141105.

It is a congruent number.

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, 41245201 + ... + 41562570.

It is an arithmetic number, because the mean of its divisors is an integer number (670742953200).

Almost surely, 213140351141135 is an apocalyptic number.

13140351141135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13140351141135 is a deficient number, since it is larger than the sum of its proper divisors (8323423361265).

13140351141135 is a wasteful number, since it uses less digits than its factorization.

13140351141135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82807999.

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 13140351141135 its reverse (53114115304131), we get a palindrome (66254466445266).

The spelling of 13140351141135 in words is "thirteen trillion, one hundred forty billion, three hundred fifty-one million, one hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 71 149 213 355 447 745 1065 2235 10579 31737 52895 158685 82807771 248423313 414038855 1242116565 5879351741 12338357879 17638055223 29396758705 37015073637 61691789395 88190276115 185075368185 876023409409 2628070228227 4380117047045 13140351141135