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113001040314200 = 23523494313756209
BaseRepresentation
bin11001101100011000011010…
…110111011111111101011000
3112211002210102210100111100202
4121230120122313133331120
5104302402112310023300
61040155543344521332
732542025056351643
oct3154303267377530
9484083383314322
10113001040314200
1133007521365375
1210810437920248
134b08c4c4b509c
141dc93cb07aa5a
15d0e63a44cad5
hex66c61addff58

113001040314200 has 96 divisors (see below), whose sum is σ = 264091612680000. Its totient is φ = 44966317209600.

The previous prime is 113001040314193. The next prime is 113001040314233. The reversal of 113001040314200 is 2413040100311.

It is a super-2 number, since 2×1130010403142002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28205696 + ... + 31961904.

It is an arithmetic number, because the mean of its divisors is an integer number (2750954298750).

Almost surely, 2113001040314200 is an apocalyptic number.

113001040314200 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 113001040314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132045806340000).

113001040314200 is an abundant number, since it is smaller than the sum of its proper divisors (151090572365800).

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

113001040314200 is a wasteful number, since it uses less digits than its factorization.

113001040314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757005 (or 3756996 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113001040314200 its reverse (2413040100311), we get a palindrome (115414080414511).

The spelling of 113001040314200 in words is "one hundred thirteen trillion, one billion, forty million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 431 698 862 1396 1724 1745 2155 2792 3448 3490 4310 6980 8620 8725 10775 13960 17240 17450 21550 34900 43100 69800 86200 150419 300838 601676 752095 1203352 1504190 3008380 3756209 3760475 6016760 7512418 7520950 15024836 15041900 18781045 30049672 30083800 37562090 75124180 93905225 150248360 187810450 375620900 751241800 1310916941 1618926079 2621833882 3237852158 5243667764 6475704316 6554584705 8094630395 10487335528 12951408632 13109169410 16189260790 26218338820 32378521580 32772923525 40473151975 52436677640 64757043160 65545847050 80946303950 131091694100 161892607900 262183388200 323785215800 565005201571 1130010403142 2260020806284 2825026007855 4520041612568 5650052015710 11300104031420 14125130039275 22600208062840 28250260078550 56500520157100 113001040314200