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112013440200 = 23325262229689
BaseRepresentation
bin110100001010010000…
…1010111010011001000
3101201010102001100002100
41220110201113103020
53313400420041300
6123242552433400
711043540350334
oct1502441272310
9351112040070
10112013440200
1143560737582
12198610a8860
13a74169b93c
1455c877a7c4
152da8c62700
hex1a148574c8

112013440200 has 72 divisors (see below), whose sum is σ = 376178476050. Its totient is φ = 29870250240.

The previous prime is 112013440183. The next prime is 112013440241. The reversal of 112013440200 is 2044310211.

112013440200 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 3 + 440 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 88233949764 + 23779490436 = 297042^2 + 154206^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31113045 + ... + 31116644.

Almost surely, 2112013440200 is an apocalyptic number.

112013440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112013440200 is an abundant number, since it is smaller than the sum of its proper divisors (264165035850).

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

112013440200 is a wasteful number, since it uses less digits than its factorization.

112013440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62229711 (or 62229699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112013440200 its reverse (2044310211), we get a palindrome (114057750411).

The spelling of 112013440200 in words is "one hundred twelve billion, thirteen million, four hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 62229689 124459378 186689067 248918756 311148445 373378134 497837512 560067201 622296890 746756268 933445335 1120134402 1244593780 1493512536 1555742225 1866890670 2240268804 2489187560 2800336005 3111484450 3733781340 4480537608 4667226675 5600672010 6222968900 7467562680 9334453350 11201344020 12445937800 14001680025 18668906700 22402688040 28003360050 37337813400 56006720100 112013440200