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112302121200 = 2435293585101
BaseRepresentation
bin110100010010110111…
…0100110000011110000
3101201212112020211222020
41220211232212003300
53314443320334300
6123331344111440
711053644165033
oct1504556460360
9351775224866
10112302121200
114369968a915
1219921905580
13a7894356b9
145614c4501a
152dc42878a0
hex1a25ba60f0

112302121200 has 60 divisors (see below), whose sum is σ = 359741132088. Its totient is φ = 29947232000.

The previous prime is 112302121199. The next prime is 112302121273. The reversal of 112302121200 is 2121203211.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1123021212002 (a number of 23 digits) contains 22 as substring.

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 112302121200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 46791351 + ... + 46793750.

Almost surely, 2112302121200 is an apocalyptic number.

112302121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112302121200 is an abundant number, since it is smaller than the sum of its proper divisors (247439010888).

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

112302121200 is a wasteful number, since it uses less digits than its factorization.

112302121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93585122 (or 93585111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112302121200 its reverse (2121203211), we get a palindrome (114423324411).

The spelling of 112302121200 in words is "one hundred twelve billion, three hundred two million, one hundred twenty-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 93585101 187170202 280755303 374340404 467925505 561510606 748680808 935851010 1123021212 1403776515 1497361616 1871702020 2246042424 2339627525 2807553030 3743404040 4492084848 4679255050 5615106060 7018882575 7486808080 9358510100 11230212120 14037765150 18717020200 22460424240 28075530300 37434040400 56151060600 112302121200