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232112113101 = 32112980847131
BaseRepresentation
bin1101100000101011110…
…1011100010111001101
3211012010021220001100200
43120022331130113031
512300331200104401
6254344132044113
722524645260001
oct3301275342715
9735107801320
10232112113101
118a490267050
1238b99a63639
1318b7115372b
14b33cc4a701
156087709686
hex360af5c5cd

232112113101 has 24 divisors (see below), whose sum is σ = 378364577760. Its totient is φ = 135823178400.

The previous prime is 232112112983. The next prime is 232112113109. The reversal of 232112113101 is 101311211232.

232112113101 is a `hidden beast` number, since 232 + 1 + 121 + 1 + 310 + 1 = 666.

It is not a de Polignac number, because 232112113101 - 213 = 232112104909 is a prime.

It is a super-2 number, since 2×2321121131012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112113109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40420695 + ... + 40426436.

It is an arithmetic number, because the mean of its divisors is an integer number (15765190740).

Almost surely, 2232112113101 is an apocalyptic number.

It is an amenable number.

232112113101 is a deficient number, since it is larger than the sum of its proper divisors (146252464659).

232112113101 is a wasteful number, since it uses less digits than its factorization.

232112113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80847177 (or 80847174 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 232112113101 its reverse (101311211232), we get a palindrome (333423324333).

It can be divided in two parts, 23211 and 2113101, that added together give a palindrome (2136312).

The spelling of 232112113101 in words is "two hundred thirty-two billion, one hundred twelve million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 80847131 242541393 727624179 889318441 2344566799 2667955323 7033700397 8003865969 21101101191 25790234789 77370704367 232112113101