Search a number
-
+
112031131311 = 32112949097949
BaseRepresentation
bin110100001010110010…
…0110110011010101111
3101201011122100010201200
41220111210312122233
53313414432200221
6123244423540543
711044143622041
oct1502544663257
9351148303650
10112031131311
114356a720130
1219866bba753
13a745254158
1455cac63a91
152daa5a9426
hex1a159366af

112031131311 has 48 divisors (see below), whose sum is σ = 182681460000. Its totient is φ = 65534757120.

The previous prime is 112031131309. The next prime is 112031131313. The reversal of 112031131311 is 113131130211.

112031131311 is a `hidden beast` number, since 1 + 12 + 0 + 311 + 31 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (112031131309) and next prime (112031131313).

It is not a de Polignac number, because 112031131311 - 21 = 112031131309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031131313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14089765 + ... + 14097713.

It is an arithmetic number, because the mean of its divisors is an integer number (3805863750).

Almost surely, 2112031131311 is an apocalyptic number.

112031131311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112031131311 is a deficient number, since it is larger than the sum of its proper divisors (70650328689).

112031131311 is a wasteful number, since it uses less digits than its factorization.

112031131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12904 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 112031131311 its reverse (113131130211), we get a palindrome (225162261522).

It can be divided in two parts, 112031 and 131311, that added together give a palindrome (243342).

The spelling of 112031131311 in words is "one hundred twelve billion, thirty-one million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 4909 7949 14727 23847 44181 53999 71541 87439 142361 161997 230521 262317 427083 485991 691563 786951 1281249 1565971 2074689 2535731 4697913 7607193 14093739 22821579 39021641 117064923 351194769 429238051 1131627589 1287714153 3394882767 3863142459 10184648301 12447903479 37343710437 112031131311