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111442000293 = 32131571606299
BaseRepresentation
bin110011111001001110…
…1011111100110100101
3101122122120210011220100
41213302131133212211
53311213123002133
6123110140454313
711023431241641
oct1476235374645
9348576704810
10111442000293
1143298116298
121972184a399
13a680192810
145572909c21
152d739d6e13
hex19f275f9a5

111442000293 has 24 divisors (see below), whose sum is σ = 173464855200. Its totient is φ = 68535925920.

The previous prime is 111442000213. The next prime is 111442000331. The reversal of 111442000293 is 392000244111.

It is a happy number.

It is not a de Polignac number, because 111442000293 - 232 = 107147032997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111442000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119343 + ... + 486956.

It is an arithmetic number, because the mean of its divisors is an integer number (7227702300).

Almost surely, 2111442000293 is an apocalyptic number.

111442000293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111442000293 is a deficient number, since it is larger than the sum of its proper divisors (62022854907).

111442000293 is a wasteful number, since it uses less digits than its factorization.

111442000293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607889 (or 607886 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 111442000293 in words is "one hundred eleven billion, four hundred forty-two million, two hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 1571 4713 14139 20423 61269 183807 606299 1818897 5456691 7881887 23645661 70936983 952495729 2857487187 8572461561 12382444477 37147333431 111442000293