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112240961 = 7194331949
BaseRepresentation
bin1101011000010…
…10100101000001
321211012102122122
412230022211001
5212213202321
615045414025
72532014060
oct654124501
9254172578
10112240961
11583a2328
123170a315
131a33b391
1410c9a1d7
159cc18ab
hex6b0a941

112240961 has 16 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 90885888.

The previous prime is 112240937. The next prime is 112240963. The reversal of 112240961 is 169042211.

It is a cyclic number.

It is not a de Polignac number, because 112240961 - 210 = 112239937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112240961.

It is not an unprimeable number, because it can be changed into a prime (112240963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56615 + ... + 58563.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2112240961 is an apocalyptic number.

It is an amenable number.

112240961 is a deficient number, since it is larger than the sum of its proper divisors (23167039).

112240961 is a wasteful number, since it uses less digits than its factorization.

112240961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 112240961 is about 10594.3834648365. The cubic root of 112240961 is about 482.3738899211.

The spelling of 112240961 in words is "one hundred twelve million, two hundred forty thousand, nine hundred sixty-one".

Divisors: 1 7 19 133 433 1949 3031 8227 13643 37031 57589 259217 843917 5907419 16034423 112240961