Search a number
-
+
113220301200 = 2435297972683
BaseRepresentation
bin110100101110001110…
…1001011000110010000
3101211020111222020010220
41221130131023012100
53323333344114300
6124002423553040
711115463452456
oct1513435130620
9354214866126
10113220301200
114401a9aa066
1219b392bb780
13a8a4725c86
1456a0b749d6
152e29ba5da0
hex1a5c74b190

113220301200 has 120 divisors (see below), whose sum is σ = 366421735008. Its totient is φ = 29880791040.

The previous prime is 113220301127. The next prime is 113220301253. The reversal of 113220301200 is 2103022311.

113220301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113220301200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369942 + ... + 602741.

Almost surely, 2113220301200 is an apocalyptic number.

113220301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113220301200 is an abundant number, since it is smaller than the sum of its proper divisors (253201433808).

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

113220301200 is a wasteful number, since it uses less digits than its factorization.

113220301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972801 (or 972790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113220301200 its reverse (2103022311), we get a palindrome (115323323511).

The spelling of 113220301200 in words is "one hundred thirteen billion, two hundred twenty million, three hundred one 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 97 100 120 150 194 200 240 291 300 388 400 485 582 600 776 970 1164 1200 1455 1552 1940 2328 2425 2910 3880 4656 4850 5820 7275 7760 9700 11640 14550 19400 23280 29100 38800 58200 116400 972683 1945366 2918049 3890732 4863415 5836098 7781464 9726830 11672196 14590245 15562928 19453660 23344392 24317075 29180490 38907320 46688784 48634150 58360980 72951225 77814640 94350251 97268300 116721960 145902450 188700502 194536600 233443920 283050753 291804900 377401004 389073200 471751255 566101506 583609800 754802008 943502510 1132203012 1167219600 1415253765 1509604016 1887005020 2264406024 2358756275 2830507530 3774010040 4528812048 4717512550 5661015060 7076268825 7548020080 9435025100 11322030120 14152537650 18870050200 22644060240 28305075300 37740100400 56610150600 113220301200