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113046373000 = 23531140925127
BaseRepresentation
bin110100101001000010…
…1101100001010001000
3101210210101200202111201
41221102011230022020
53323004332414000
6123533252033544
711111252213251
oct1512205541210
9353711622451
10113046373000
1143a40804250
1219aab0028b4
13a877699992
145685a1bb28
152e1979b96a
hex1a5216c288

113046373000 has 128 divisors (see below), whose sum is σ = 289293638400. Its totient is φ = 41005632000.

The previous prime is 113046372953. The next prime is 113046373003. The reversal of 113046373000 is 373640311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 113046373000.

It is not an unprimeable number, because it can be changed into a prime (113046373003) 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, 4486437 + ... + 4511563.

It is an arithmetic number, because the mean of its divisors is an integer number (2260106550).

Almost surely, 2113046373000 is an apocalyptic number.

113046373000 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 113046373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144646819200).

113046373000 is an abundant number, since it is smaller than the sum of its proper divisors (176247265400).

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

113046373000 is a wasteful number, since it uses less digits than its factorization.

113046373000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25568 (or 25554 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 113046373000 in words is "one hundred thirteen billion, forty-six million, three hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 409 440 500 550 818 1000 1100 1375 1636 2045 2200 2750 3272 4090 4499 5500 8180 8998 10225 11000 16360 17996 20450 22495 25127 35992 40900 44990 50254 51125 81800 89980 100508 102250 112475 125635 179960 201016 204500 224950 251270 276397 409000 449900 502540 552794 562375 628175 899800 1005080 1105588 1124750 1256350 1381985 2211176 2249500 2512700 2763970 3140875 4499000 5025400 5527940 6281750 6909925 10276943 11055880 12563500 13819850 20553886 25127000 27639700 34549625 41107772 51384715 55279400 69099250 82215544 102769430 113046373 138198500 205538860 226092746 256923575 276397000 411077720 452185492 513847150 565231865 904370984 1027694300 1130463730 1284617875 2055388600 2260927460 2569235750 2826159325 4521854920 5138471500 5652318650 10276943000 11304637300 14130796625 22609274600 28261593250 56523186500 113046373000