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112133021 = 72111321231
BaseRepresentation
bin1101010111100…
…00001110011101
321210222221120212
412223300032131
5212201224041
615043222205
72531054300
oct653601635
9253887525
10112133021
1158329220
1231677965
131a301200
1410c6cb37
159c9e8eb
hex6af039d

112133021 has 36 divisors (see below), whose sum is σ = 154211904. Its totient is φ = 80589600.

The previous prime is 112132997. The next prime is 112133029. The reversal of 112133021 is 120331211.

It is not a de Polignac number, because 112133021 - 26 = 112132957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112132987 and 112133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90476 + ... + 91706.

It is an arithmetic number, because the mean of its divisors is an integer number (4283664).

Almost surely, 2112133021 is an apocalyptic number.

112133021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112133021 is a deficient number, since it is larger than the sum of its proper divisors (42078883).

112133021 is a wasteful number, since it uses less digits than its factorization.

112133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 112133021 is about 10589.2880308357. The cubic root of 112133021 is about 482.2192103909.

Adding to 112133021 its reverse (120331211), we get a palindrome (232464232).

The spelling of 112133021 in words is "one hundred twelve million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1231 1859 7007 8281 8617 13013 13541 16003 60319 91091 94787 112021 176033 208039 663509 784147 1232231 1456273 2288429 8625617 10193911 16019003 112133021