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13114312134 = 23711671992129
BaseRepresentation
bin11000011011010110…
…01000010111000110
31020211221220002020020
430031223020113012
5203324230442014
610005153120010
7642661546110
oct141553102706
936757802206
1013114312134
11561a7618a0
12265bb59006
13130cc86a11
148c5a043b0
1551b4d21a9
hex30dac85c6

13114312134 has 128 divisors (see below), whose sum is σ = 33371136000. Its totient is φ = 3337044480.

The previous prime is 13114312097. The next prime is 13114312139. The reversal of 13114312134 is 43121341131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114312139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6158782 + ... + 6160910.

It is an arithmetic number, because the mean of its divisors is an integer number (260712000).

Almost surely, 213114312134 is an apocalyptic number.

13114312134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114312134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685568000).

13114312134 is an abundant number, since it is smaller than the sum of its proper divisors (20256823866).

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

13114312134 is a wasteful number, since it uses less digits than its factorization.

13114312134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418.

The product of its digits is 864, while the sum is 24.

Adding to 13114312134 its reverse (43121341131), we get a palindrome (56235653265).

The spelling of 13114312134 in words is "thirteen billion, one hundred fourteen million, three hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 199 201 231 398 402 462 469 597 737 938 1194 1393 1407 1474 2129 2189 2211 2786 2814 4179 4258 4378 4422 5159 6387 6567 8358 10318 12774 13134 13333 14903 15323 15477 23419 26666 29806 30646 30954 39999 44709 45969 46838 70257 79998 89418 91938 93331 140514 142643 146663 163933 186662 279993 285286 293326 327866 423671 427929 439989 491799 559986 847342 855858 879978 983598 998501 1026641 1271013 1569073 1997002 2053282 2542026 2965697 2995503 3079923 3138146 4660381 4707219 5931394 5991006 6159846 8897091 9320762 9414438 10983511 13981143 17794182 21967022 27962286 28385957 32622667 32950533 56771914 65245334 65901066 85157871 97868001 170315742 195736002 198701699 312245527 397403398 596105097 624491054 936736581 1192210194 1873473162 2185718689 4371437378 6557156067 13114312134