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113112202000 = 2453712796317
BaseRepresentation
bin110100101011000000…
…0110011101100010000
3101210221222120012220211
41221112000303230100
53323123210431000
6123544003013504
711113011565450
oct1512600635420
9353858505824
10113112202000
1143a74986586
1219b0906a294
13a888207b55
145690675d60
152e204517ba
hex1a56033b10

113112202000 has 160 divisors (see below), whose sum is σ = 312871403520. Its totient is φ = 38744870400.

The previous prime is 113112201989. The next prime is 113112202001. The reversal of 113112202000 is 202211311.

It is not an unprimeable number, because it can be changed into a prime (113112202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17902842 + ... + 17909158.

It is an arithmetic number, because the mean of its divisors is an integer number (1955446272).

Almost surely, 2113112202000 is an apocalyptic number.

113112202000 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 113112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156435701760).

113112202000 is an abundant number, since it is smaller than the sum of its proper divisors (199759201520).

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

113112202000 is a wasteful number, since it uses less digits than its factorization.

113112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 113112202000 its reverse (202211311), we get a palindrome (113314413311).

The spelling of 113112202000 in words is "one hundred thirteen billion, one hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1279 1400 1750 2000 2558 2800 3500 5116 6317 6395 7000 8953 10232 12634 12790 14000 17906 20464 25268 25580 31585 31975 35812 44219 44765 50536 51160 63170 63950 71624 88438 89530 101072 102320 126340 127900 143248 157925 159875 176876 179060 221095 223825 252680 255800 315850 319750 353752 358120 442190 447650 505360 511600 631700 639500 707504 716240 789625 884380 895300 1105475 1119125 1263400 1279000 1579250 1768760 1790600 2210950 2238250 2526800 2558000 3158500 3537520 3581200 4421900 4476500 5527375 6317000 8079443 8843800 8953000 11054750 12634000 16158886 17687600 17906000 22109500 32317772 40397215 44219000 56556101 64635544 80794430 88438000 113112202 129271088 161588860 201986075 226224404 282780505 323177720 403972150 452448808 565561010 646355440 807944300 904897616 1009930375 1131122020 1413902525 1615888600 2019860750 2262244040 2827805050 3231777200 4039721500 4524488080 5655610100 7069512625 8079443000 11311220200 14139025250 16158886000 22622440400 28278050500 56556101000 113112202000