Search a number
-
+
13114133012112 = 2431124837373129
BaseRepresentation
bin1011111011010101111100…
…1111010101111010010000
31201102200212110220021102020
42332311133033111322100
53204330221022341422
643520314411051440
72522315304243006
oct276653717257220
951380773807366
1013114133012112
1141a6744222aa0
121579734740b80
13741871508502
14334a280a4a76
1517b1de52a95c
hexbed5f3d5e90

13114133012112 has 40 divisors (see below), whose sum is σ = 36958011217440. Its totient is φ = 3973979700480.

The previous prime is 13114133012111. The next prime is 13114133012257. The reversal of 13114133012112 is 21121033141131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13114133012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12418686037 + ... + 12418687092.

It is an arithmetic number, because the mean of its divisors is an integer number (923950280436).

Almost surely, 213114133012112 is an apocalyptic number.

13114133012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114133012112 is an abundant number, since it is smaller than the sum of its proper divisors (23843878205328).

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

13114133012112 is a wasteful number, since it uses less digits than its factorization.

13114133012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24837373151 (or 24837373145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 13114133012112 its reverse (21121033141131), we get a palindrome (34235166153243).

The spelling of 13114133012112 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-three million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 24837373129 49674746258 74512119387 99349492516 149024238774 198698985032 273211104419 298048477548 397397970064 546422208838 596096955096 819633313257 1092844417676 1192193910192 1639266626514 2185688835352 3278533253028 4371377670704 6557066506056 13114133012112