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113103222000 = 2435334954013
BaseRepresentation
bin110100101010101111…
…0100011010011110000
3101210221100122222200020
41221111132203103300
53323113411101000
6123543042323440
711112542344626
oct1512536432360
9353840588606
10113103222000
1143a6a90279a
1219b06059580
13a8863b2642
14568d3b9516
152e1e77aba0
hex1a557a34f0

113103222000 has 160 divisors (see below), whose sum is σ = 365696385600. Its totient is φ = 30073881600.

The previous prime is 113103221927. The next prime is 113103222013. The reversal of 113103222000 is 222301311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066994 + ... + 2121006.

It is an arithmetic number, because the mean of its divisors is an integer number (2285602410).

Almost surely, 2113103222000 is an apocalyptic number.

113103222000 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 113103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182848192800).

113103222000 is an abundant number, since it is smaller than the sum of its proper divisors (252593163600).

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

113103222000 is a wasteful number, since it uses less digits than its factorization.

113103222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54388 (or 54372 counting only the distinct ones).

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

Adding to 113103222000 its reverse (222301311), we get a palindrome (113325523311).

The spelling of 113103222000 in words is "one hundred thirteen billion, one hundred three 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 80 100 120 125 150 200 240 250 300 349 375 400 500 600 698 750 1000 1047 1200 1396 1500 1745 2000 2094 2792 3000 3490 4188 5235 5584 6000 6980 8376 8725 10470 13960 16752 17450 20940 26175 27920 34900 41880 43625 52350 54013 69800 83760 87250 104700 108026 130875 139600 162039 174500 209400 216052 261750 270065 324078 349000 418800 432104 523500 540130 648156 698000 810195 864208 1047000 1080260 1296312 1350325 1620390 2094000 2160520 2592624 2700650 3240780 4050975 4321040 5401300 6481560 6751625 8101950 10802600 12963120 13503250 16203900 18850537 20254875 21605200 27006500 32407800 37701074 40509750 54013000 56551611 64815600 75402148 81019500 94252685 108026000 113103222 150804296 162039000 188505370 226206444 282758055 301608592 324078000 377010740 452412888 471263425 565516110 754021480 904825776 942526850 1131032220 1413790275 1508042960 1885053700 2262064440 2356317125 2827580550 3770107400 4524128880 4712634250 5655161100 7068951375 7540214800 9425268500 11310322200 14137902750 18850537000 22620644400 28275805500 37701074000 56551611000 113103222000