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113211301200 = 24352226941579
BaseRepresentation
bin110100101101111101…
…0110101110101010000
3101211012220000222110120
41221123322311311100
53323324043114300
6124001503030240
711115324116424
oct1513372656520
9354186028416
10113211301200
1144015912248
1219b3629b380
13a8a28c462a
14569d8b0b84
152e28ec93a0
hex1a5beb5d50

113211301200 has 120 divisors (see below), whose sum is σ = 362822090400. Its totient is φ = 30175649280.

The previous prime is 113211301193. The next prime is 113211301243. The reversal of 113211301200 is 2103112311.

It is a happy number.

113211301200 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 113211301200.

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, 2702011 + ... + 2743589.

It is an arithmetic number, because the mean of its divisors is an integer number (3023517420).

Almost surely, 2113211301200 is an apocalyptic number.

113211301200 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 113211301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181411045200).

113211301200 is an abundant number, since it is smaller than the sum of its proper divisors (249610789200).

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

113211301200 is a wasteful number, since it uses less digits than its factorization.

113211301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43869 (or 43858 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113211301200 its reverse (2103112311), we get a palindrome (115314413511).

The spelling of 113211301200 in words is "one hundred thirteen billion, two hundred eleven 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 80 100 120 150 200 240 300 400 600 1200 2269 4538 6807 9076 11345 13614 18152 22690 27228 34035 36304 41579 45380 54456 56725 68070 83158 90760 108912 113450 124737 136140 166316 170175 181520 207895 226900 249474 272280 332632 340350 415790 453800 498948 544560 623685 665264 680700 831580 907600 997896 1039475 1247370 1361400 1663160 1995792 2078950 2494740 2722800 3118425 3326320 4157900 4989480 6236850 8315800 9978960 12473700 16631600 24947400 49894800 94342751 188685502 283028253 377371004 471713755 566056506 754742008 943427510 1132113012 1415141265 1509484016 1886855020 2264226024 2358568775 2830282530 3773710040 4528452048 4717137550 5660565060 7075706325 7547420080 9434275100 11321130120 14151412650 18868550200 22642260240 28302825300 37737100400 56605650600 113211301200