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113313112321200 = 24352118584326691
BaseRepresentation
bin11001110000111011000011…
…110011101110110010110000
3112212012121221121220000111020
4121300323003303232302300
5104323010223223234300
61040555154123015440
732603413361554101
oct3160730363566260
9485177847800436
10113313112321200
1133117903925160
1210860a1006a580
134b2c4c436a6ac
141dda5535c23a8
15d178028528a0
hex670ec3ceecb0

113313112321200 has 120 divisors (see below), whose sum is σ = 395977821648576. Its totient is φ = 27469845408000.

The previous prime is 113313112321187. The next prime is 113313112321237. The reversal of 113313112321200 is 2123211313311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1133131123212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4292150146 + ... + 4292176545.

Almost surely, 2113313112321200 is an apocalyptic number.

113313112321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113313112321200 is an abundant number, since it is smaller than the sum of its proper divisors (282664709327376).

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

113313112321200 is a wasteful number, since it uses less digits than its factorization.

113313112321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584326723 (or 8584326712 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 113313112321200 its reverse (2123211313311), we get a palindrome (115436323634511).

The spelling of 113313112321200 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred twelve million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 8584326691 17168653382 25752980073 34337306764 42921633455 51505960146 68674613528 85843266910 94427593601 103011920292 128764900365 137349227056 171686533820 188855187202 206023840584 214608167275 257529800730 283282780803 343373067640 377710374404 412047681168 429216334550 472137968005 515059601460 566565561606 643824501825 686746135280 755420748808 858432669100 944275936010 1030119202920 1133131123212 1287649003650 1416413904015 1510841497616 1716865338200 1888551872020 2060238405840 2266262246424 2360689840025 2575298007300 2832827808030 3433730676400 3777103744040 4532524492848 4721379680050 5150596014600 5665655616060 7082069520075 7554207488080 9442759360100 10301192029200 11331311232120 14164139040150 18885518720200 22662622464240 28328278080300 37771037440400 56656556160600 113313112321200