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113187747140 = 225133113314229
BaseRepresentation
bin110100101101010000…
…0111111010101000100
3101211011020201022100222
41221122200333111010
53323302030402030
6123555302123512
711114616655616
oct1513240772504
9354136638328
10113187747140
1144003594786
1219b2a420598
13a89aa68610
14569a6dcdb6
152e26dc53e5
hex1a5a83f544

113187747140 has 96 divisors (see below), whose sum is σ = 257638268160. Its totient is φ = 41522342400.

The previous prime is 113187747103. The next prime is 113187747149. The reversal of 113187747140 is 41747781311.

113187747140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131877471402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113187747091 and 113187747100.

It is not an unprimeable number, because it can be changed into a prime (113187747149) 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, 26762546 + ... + 26766774.

It is an arithmetic number, because the mean of its divisors is an integer number (2683731960).

Almost surely, 2113187747140 is an apocalyptic number.

113187747140 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 113187747140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128819134080).

113187747140 is an abundant number, since it is smaller than the sum of its proper divisors (144450521020).

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

113187747140 is a wasteful number, since it uses less digits than its factorization.

113187747140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 44.

The spelling of 113187747140 in words is "one hundred thirteen billion, one hundred eighty-seven million, seven hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 331 622 662 1244 1324 1555 1655 3110 3310 4043 4229 4303 6220 6620 8086 8458 8606 16172 16916 17212 20215 21145 21515 40430 42290 43030 54977 80860 84580 86060 102941 109954 205882 219908 274885 411764 514705 549770 1029410 1099540 1315219 1338233 1399799 2058820 2630438 2676466 2799598 5260876 5352932 5599196 6576095 6691165 6998995 13152190 13382330 13997990 17097847 18197387 26304380 26764660 27995980 34195694 36394774 68391388 72789548 85489235 90986935 170978470 181973870 341956940 363947740 435337489 870674978 1741349956 2176687445 4353374890 5659387357 8706749780 11318774714 22637549428 28296936785 56593873570 113187747140