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112420444200 = 23352238146409
BaseRepresentation
bin110100010110011000…
…1111101100000101000
3101202011202220021121120
41220230301331200220
53320214113203300
6123351212135240
711056612003041
oct1505461754050
9352152807546
10112420444200
114374a456719
1219955467520
13a7a7ac31cc
1456268458c8
152dce85b3a0
hex1a2cc7d828

112420444200 has 96 divisors (see below), whose sum is σ = 363655742400. Its totient is φ = 28675356160.

The previous prime is 112420444133. The next prime is 112420444207. The reversal of 112420444200 is 2444024211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112420444207) by changing a digit.

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, 4059405 + ... + 4087004.

It is an arithmetic number, because the mean of its divisors is an integer number (3788080650).

Almost surely, 2112420444200 is an apocalyptic number.

112420444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112420444200 is an abundant number, since it is smaller than the sum of its proper divisors (251235298200).

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

112420444200 is a wasteful number, since it uses less digits than its factorization.

112420444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146451 (or 8146442 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 112420444200 its reverse (2444024211), we get a palindrome (114864468411).

The spelling of 112420444200 in words is "one hundred twelve billion, four hundred twenty million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 8146409 16292818 24439227 32585636 40732045 48878454 65171272 81464090 97756908 122196135 162928180 187367407 195513816 203660225 244392270 325856360 374734814 407320450 488784540 562102221 610980675 749469628 814640900 936837035 977569080 1124204442 1221961350 1498939256 1629281800 1873674070 2248408884 2443922700 2810511105 3747348140 4496817768 4684185175 4887845400 5621022210 7494696280 9368370350 11242044420 14052555525 18736740700 22484088840 28105111050 37473481400 56210222100 112420444200