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113031111000 = 23353167225611
BaseRepresentation
bin110100101000100101…
…1011110000101011000
3101210202022222100222110
41221101023132011120
53322441431023000
6123531544552320
711111005406523
oct1512113360530
9353668870873
10113031111000
1143a3312a725
1219aa5a826a0
13a874485002
1456839a7bba
152e18284850
hex1a512de158

113031111000 has 128 divisors (see below), whose sum is σ = 354770357760. Its totient is φ = 29961008000.

The previous prime is 113031110999. The next prime is 113031111007. The reversal of 113031111000 is 111130311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113031111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388195 + ... + 613805.

It is an arithmetic number, because the mean of its divisors is an integer number (2771643420).

Almost surely, 2113031111000 is an apocalyptic number.

113031111000 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 113031111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177385178880).

113031111000 is an abundant number, since it is smaller than the sum of its proper divisors (241739246760).

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

113031111000 is a wasteful number, since it uses less digits than its factorization.

113031111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225802 (or 225788 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 113031111000 its reverse (111130311), we get a palindrome (113142241311).

The spelling of 113031111000 in words is "one hundred thirteen billion, thirty-one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 500 501 600 668 750 835 1000 1002 1336 1500 1670 2004 2505 3000 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20875 25050 33400 41750 50100 62625 83500 100200 125250 167000 225611 250500 451222 501000 676833 902444 1128055 1353666 1804888 2256110 2707332 3384165 4512220 5414664 5640275 6768330 9024440 11280550 13536660 16920825 22561100 27073320 28201375 33841650 37677037 45122200 56402750 67683300 75354074 84604125 112805500 113031111 135366600 150708148 169208250 188385185 225611000 226062222 301416296 338416500 376770370 452124444 565155555 676833000 753540740 904248888 941925925 1130311110 1507081480 1883851850 2260622220 2825777775 3767703700 4521244440 4709629625 5651555550 7535407400 9419259250 11303111100 14128888875 18838518500 22606222200 28257777750 37677037000 56515555500 113031111000