Search a number
-
+
13112000313023 = 319724134995171
BaseRepresentation
bin1011111011001110000000…
…0111101111011010111111
31201102111100211211221021002
42332303200013233122333
53204311334040004043
643515323024000515
72522211406506263
oct276634007573277
951374324757232
1013112000313023
1141a584a390667
12157923a46013b
137415c170bca1
143348a4b460a3
1517b1171a4bb8
hexbece01ef6bf

13112000313023 has 32 divisors (see below), whose sum is σ = 13737825024000. Its totient is φ = 12500116992000.

The previous prime is 13112000313017. The next prime is 13112000313029. The reversal of 13112000313023 is 32031300021131.

It is an interprime number because it is at equal distance from previous prime (13112000313017) and next prime (13112000313029).

It is a cyclic number.

It is not a de Polignac number, because 13112000313023 - 26 = 13112000312959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13112000312986 and 13112000313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112000313029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2535677228 + ... + 2535682398.

It is an arithmetic number, because the mean of its divisors is an integer number (429307032000).

Almost surely, 213112000313023 is an apocalyptic number.

13112000313023 is a deficient number, since it is larger than the sum of its proper divisors (625824710977).

13112000313023 is a wasteful number, since it uses less digits than its factorization.

13112000313023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13112000313023 its reverse (32031300021131), we get a palindrome (45143300334154).

The spelling of 13112000313023 in words is "thirteen trillion, one hundred twelve billion, three hundred thirteen thousand, twenty-three".

Divisors: 1 31 97 241 3007 3499 5171 7471 23377 108469 160301 339403 501587 724687 843259 1246211 10521493 15549197 18093329 26141029 38632541 81796123 120882467 560893199 1755052913 2535679813 3747356477 4360492289 54406640303 135175260959 422967752033 13112000313023