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112247129960 = 23573146727691
BaseRepresentation
bin110100010001001110…
…0110100011101101000
3101201201200210000011122
41220202130310131220
53314340231124320
6123322101314412
711052405601520
oct1504234643550
9351650700148
10112247129960
1143670640109
1219907405a08
13a77ac204c4
14560b80c680
152dbe523d25
hex1a22734768

112247129960 has 128 divisors (see below), whose sum is σ = 298595082240. Its totient is φ = 37162195200.

The previous prime is 112247129959. The next prime is 112247130031. The reversal of 112247129960 is 69921742211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039715 + ... + 4067405.

It is an arithmetic number, because the mean of its divisors is an integer number (2332774080).

Almost surely, 2112247129960 is an apocalyptic number.

112247129960 is a gapful number since it is divisible by the number (10) 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 112247129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149297541120).

112247129960 is an abundant number, since it is smaller than the sum of its proper divisors (186347952280).

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

112247129960 is a wasteful number, since it uses less digits than its factorization.

112247129960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28207 (or 28203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 112247129960 in words is "one hundred twelve billion, two hundred forty-seven million, one hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 467 620 868 934 1085 1240 1736 1868 2170 2335 3269 3736 4340 4670 6538 8680 9340 13076 14477 16345 18680 26152 27691 28954 32690 55382 57908 65380 72385 101339 110764 115816 130760 138455 144770 193837 202678 221528 276910 289540 387674 405356 506695 553820 579080 775348 810712 858421 969185 1013390 1107640 1550696 1716842 1938370 2026780 3433684 3876740 4053560 4292105 6008947 6867368 7753480 8584210 12017894 12931697 17168420 24035788 25863394 30044735 34336840 48071576 51726788 60089470 64658485 90521879 103453576 120178940 129316970 181043758 240357880 258633940 362087516 400882607 452609395 517267880 724175032 801765214 905218790 1603530428 1810437580 2004413035 2806178249 3207060856 3620875160 4008826070 5612356498 8017652140 11224712996 14030891245 16035304280 22449425992 28061782490 56123564980 112247129960