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113240120140 = 225721376171367
BaseRepresentation
bin110100101110110100…
…0110001101101001100
3101211021220021010121201
41221131220301231030
53323403432321030
6124004412435244
711116124065600
oct1513550615514
9354256233551
10113240120140
1144030106354
1219b43a78b24
13a8a8874b64
1456a3653500
152e2b7bd2ca
hex1a5da31b4c

113240120140 has 144 divisors (see below), whose sum is σ = 279304417728. Its totient is φ = 38451173376.

The previous prime is 113240120117. The next prime is 113240120153. The reversal of 113240120140 is 41021042311.

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 47 ways as a sum of consecutive naturals, for example, 82837737 + ... + 82839103.

It is an arithmetic number, because the mean of its divisors is an integer number (1939614012).

Almost surely, 2113240120140 is an apocalyptic number.

113240120140 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 113240120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139652208864).

113240120140 is an abundant number, since it is smaller than the sum of its proper divisors (166064297588).

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

113240120140 is a wasteful number, since it uses less digits than its factorization.

113240120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 113240120140 its reverse (41021042311), we get a palindrome (154261162451).

The spelling of 113240120140 in words is "one hundred thirteen billion, two hundred forty million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 245 274 490 548 617 685 959 980 1234 1367 1370 1918 2468 2734 2740 3085 3836 4319 4795 5468 6170 6713 6835 8638 9569 9590 12340 13426 13670 17276 19138 19180 21595 26852 27340 30233 33565 38276 43190 47845 60466 66983 67130 84529 86380 95690 120932 133966 134260 151165 169058 187279 191380 267932 302330 334915 338116 374558 422645 591703 604660 669830 749116 843439 845290 936395 1183406 1310953 1339660 1686878 1690580 1872790 2366812 2621906 2958515 3373756 3745580 4141921 4217195 5243812 5904073 5917030 6554765 8283842 8434390 9176671 11808146 11834060 13109530 16567684 16868780 18353342 20709605 23616292 26219060 29520365 36706684 41328511 41419210 45883355 59040730 82657022 82838420 91766710 115551143 118081460 165314044 183533420 206642555 231102286 413285110 462204572 577755715 808858001 826570220 1155511430 1617716002 2311022860 3235432004 4044290005 5662006007 8088580010 11324012014 16177160020 22648024028 28310030035 56620060070 113240120140