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110157312 = 293292473
BaseRepresentation
bin1101001000011…
…01111000000000
321200021120102110
412210031320000
5211200013222
614533015320
72505215226
oct644157000
9250246373
10110157312
11571a9901
1230a84540
1319a8bb55
14108b6b16
159a0e30c
hex690de00

110157312 has 80 divisors (see below), whose sum is σ = 303708240. Its totient is φ = 35438592.

The previous prime is 110157241. The next prime is 110157337. The reversal of 110157312 is 213751011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43308 + ... + 45780.

It is an arithmetic number, because the mean of its divisors is an integer number (3796353).

Almost surely, 2110157312 is an apocalyptic number.

110157312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151854120).

110157312 is an abundant number, since it is smaller than the sum of its proper divisors (193550928).

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

110157312 is an equidigital number, since it uses as much as digits as its factorization.

110157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 110157312 is about 10495.5853576635. The cubic root of 110157312 is about 479.3702853462.

The spelling of 110157312 in words is "one hundred ten million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2473 2784 3712 4946 5568 7419 7424 9892 11136 14838 14848 19784 22272 29676 39568 44544 59352 71717 79136 118704 143434 158272 215151 237408 286868 316544 430302 474816 573736 633088 860604 949632 1147472 1266176 1721208 1899264 2294944 3442416 3798528 4589888 6884832 9179776 13769664 18359552 27539328 36719104 55078656 110157312