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110257112 = 23747163257
BaseRepresentation
bin1101001001001…
…10001111011000
321200110122022202
412210212033120
5211211211422
614535105332
72506112210
oct644461730
9250418282
10110257112
1157267889
1230b12248
1319ac53c4
1410901240
159a2db92
hex69263d8

110257112 has 64 divisors (see below), whose sum is σ = 243717120. Its totient is φ = 45785088.

The previous prime is 110257109. The next prime is 110257123. The reversal of 110257112 is 211752011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428888 + ... + 429144.

It is an arithmetic number, because the mean of its divisors is an integer number (3808080).

Almost surely, 2110257112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110257112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121858560).

110257112 is an abundant number, since it is smaller than the sum of its proper divisors (133460008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110257112 is a wasteful number, since it uses less digits than its factorization.

110257112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 110257112 is about 10500.3386612052. The cubic root of 110257112 is about 479.5150078139.

The spelling of 110257112 in words is "one hundred ten million, two hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 56 94 163 188 257 326 329 376 514 652 658 1028 1141 1304 1316 1799 2056 2282 2632 3598 4564 7196 7661 9128 12079 14392 15322 24158 30644 41891 48316 53627 61288 83782 84553 96632 107254 167564 169106 214508 293237 335128 338212 429016 586474 676424 1172948 1968877 2345896 3937754 7875508 13782139 15751016 27564278 55128556 110257112