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113133313200 = 24352577163393
BaseRepresentation
bin110100101011101000…
…1010101110010110000
3101211000110021210001010
41221113101111302300
53323144112010300
6123550035310520
711113356203235
oct1512721256260
9354013253033
10113133313200
1143a85895756
1219b1414b440
13a88c6b9c9b
1456933ad78c
152e22221a50
hex1a57455cb0

113133313200 has 120 divisors (see below), whose sum is σ = 363034017808. Its totient is φ = 30116413440.

The previous prime is 113133313193. The next prime is 113133313211. The reversal of 113133313200 is 2313331311.

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

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, 610704 + ... + 774096.

Almost surely, 2113133313200 is an apocalyptic number.

113133313200 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 113133313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181517008904).

113133313200 is an abundant number, since it is smaller than the sum of its proper divisors (249900704608).

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

113133313200 is a wasteful number, since it uses less digits than its factorization.

113133313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163991 (or 163980 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113133313200 its reverse (2313331311), we get a palindrome (115446644511).

The spelling of 113133313200 in words is "one hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 577 600 1154 1200 1731 2308 2885 3462 4616 5770 6924 8655 9232 11540 13848 14425 17310 23080 27696 28850 34620 43275 46160 57700 69240 86550 115400 138480 163393 173100 230800 326786 346200 490179 653572 692400 816965 980358 1307144 1633930 1960716 2450895 2614288 3267860 3921432 4084825 4901790 6535720 7842864 8169650 9803580 12254475 13071440 16339300 19607160 24508950 32678600 39214320 49017900 65357200 94277761 98035800 188555522 196071600 282833283 377111044 471388805 565666566 754222088 942777610 1131333132 1414166415 1508444176 1885555220 2262666264 2356944025 2828332830 3771110440 4525332528 4713888050 5656665660 7070832075 7542220880 9427776100 11313331320 14141664150 18855552200 22626662640 28283328300 37711104400 56566656600 113133313200