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113310222000 = 24353179105503
BaseRepresentation
bin110100110000111010…
…0001100011010110000
3101211110210011200021220
41221201310030122300
53324024404101000
6124015355145040
711120634665313
oct1514164143260
9354423150256
10113310222000
1144066736978
1219b63445180
13a8ba24ab51
1456acaa097a
152e32a191a0
hex1a61d0c6b0

113310222000 has 160 divisors (see below), whose sum is σ = 367356487680. Its totient is φ = 30046969600.

The previous prime is 113310221939. The next prime is 113310222007. The reversal of 113310222000 is 222013311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113310222007) 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, 1021249 + ... + 1126751.

It is an arithmetic number, because the mean of its divisors is an integer number (2295978048).

Almost surely, 2113310222000 is an apocalyptic number.

113310222000 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 113310222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183678243840).

113310222000 is an abundant number, since it is smaller than the sum of its proper divisors (254046265680).

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

113310222000 is a wasteful number, since it uses less digits than its factorization.

113310222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105708 (or 105692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113310222000 its reverse (222013311), we get a palindrome (113532235311).

The spelling of 113310222000 in words is "one hundred thirteen billion, three hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 5370 6000 7160 8592 8950 10740 13425 14320 17900 21480 22375 26850 35800 42960 44750 53700 67125 71600 89500 105503 107400 134250 179000 211006 214800 268500 316509 358000 422012 527515 537000 633018 844024 1055030 1074000 1266036 1582545 1688048 2110060 2532072 2637575 3165090 4220120 5064144 5275150 6330180 7912725 8440240 10550300 12660360 13187875 15825450 18885037 21100600 25320720 26375750 31650900 37770074 39563625 42201200 52751500 56655111 63301800 75540148 79127250 94425185 105503000 113310222 126603600 151080296 158254500 188850370 211006000 226620444 283275555 302160592 316509000 377700740 453240888 472125925 566551110 633018000 755401480 906481776 944251850 1133102220 1416377775 1510802960 1888503700 2266204440 2360629625 2832755550 3777007400 4532408880 4721259250 5665511100 7081888875 7554014800 9442518500 11331022200 14163777750 18885037000 22662044400 28327555500 37770074000 56655111000 113310222000