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113031123000 = 23353131287611
BaseRepresentation
bin110100101000100101…
…1100001000000111000
3101210202022222222102220
41221101023201000320
53322441431414000
6123531545124040
711111005456515
oct1512113410070
9353668888386
10113031123000
1143a33138744
1219aa5a89620
13a87448a603
1456839ac30c
152e182881a0
hex1a512e1038

113031123000 has 128 divisors (see below), whose sum is σ = 355350378240. Its totient is φ = 29911440000.

The previous prime is 113031122993. The next prime is 113031123031. The reversal of 113031123000 is 321130311.

It is a super-2 number, since 2×1130311230002 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249195 + ... + 536805.

It is an arithmetic number, because the mean of its divisors is an integer number (2776174830).

Almost surely, 2113031123000 is an apocalyptic number.

113031123000 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 113031123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177675189120).

113031123000 is an abundant number, since it is smaller than the sum of its proper divisors (242319255240).

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

113031123000 is a wasteful number, since it uses less digits than its factorization.

113031123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287766 (or 287752 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113031123000 its reverse (321130311), we get a palindrome (113352253311).

The spelling of 113031123000 in words is "one hundred thirteen billion, thirty-one million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 3000 3144 3275 3930 5240 6550 7860 9825 13100 15720 16375 19650 26200 32750 39300 49125 65500 78600 98250 131000 196500 287611 393000 575222 862833 1150444 1438055 1725666 2300888 2876110 3451332 4314165 5752220 6902664 7190275 8628330 11504440 14380550 17256660 21570825 28761100 34513320 35951375 37677041 43141650 57522200 71902750 75354082 86283300 107854125 113031123 143805500 150708164 172566600 188385205 215708250 226062246 287611000 301416328 376770410 431416500 452124492 565155615 753540820 862833000 904248984 941926025 1130311230 1507081640 1883852050 2260622460 2825778075 3767704100 4521244920 4709630125 5651556150 7535408200 9419260250 11303112300 14128890375 18838520500 22606224600 28257780750 37677041000 56515561500 113031123000