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113387942800 = 245211107240841
BaseRepresentation
bin110100110011001110…
…0101011001110010000
3101211200012102022012001
41221212130223032100
53324204303132200
6124031213043344
711122600416466
oct1514634531620
9354605368161
10113387942800
11440a65a0740
1219b85486554
13a9003909a2
1456b9132836
152e3976c76a
hex1a6672b390

113387942800 has 120 divisors (see below), whose sum is σ = 299958113952. Its totient is φ = 40846464000.

The previous prime is 113387942777. The next prime is 113387942807. The reversal of 113387942800 is 8249783311.

It is not an unprimeable number, because it can be changed into a prime (113387942807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350380 + ... + 591220.

Almost surely, 2113387942800 is an apocalyptic number.

113387942800 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 113387942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149979056976).

113387942800 is an abundant number, since it is smaller than the sum of its proper divisors (186570171152).

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

113387942800 is a wasteful number, since it uses less digits than its factorization.

113387942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240977 (or 240966 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 113387942800 in words is "one hundred thirteen billion, three hundred eighty-seven million, nine hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 107 110 176 200 214 220 275 400 428 440 535 550 856 880 1070 1100 1177 1712 2140 2200 2354 2675 4280 4400 4708 5350 5885 8560 9416 10700 11770 18832 21400 23540 29425 42800 47080 58850 94160 117700 235400 240841 470800 481682 963364 1204205 1926728 2408410 2649251 3853456 4816820 5298502 6021025 9633640 10597004 12042050 13246255 19267280 21194008 24084100 25769987 26492510 42388016 48168200 51539974 52985020 66231275 96336400 103079948 105970040 128849935 132462550 206159896 211940080 257699870 264925100 283469857 412319792 515399740 529850200 566939714 644249675 1030799480 1059700400 1133879428 1288499350 1417349285 2061598960 2267758856 2576998700 2834698570 4535517712 5153997400 5669397140 7086746425 10307994800 11338794280 14173492850 22677588560 28346985700 56693971400 113387942800