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112413422200 = 235237109139367
BaseRepresentation
bin110100010110001011…
…1001011001001111000
3101202011021200112020111
41220230113023021320
53320210314002300
6123350401434104
711056465215532
oct1505427131170
9352137615214
10112413422200
114374649aa12
121995303b934
13a7a6504c91
145625938852
152dcde209ba
hex1a2c5cb278

112413422200 has 96 divisors (see below), whose sum is σ = 270889581600. Its totient is φ = 43348400640.

The previous prime is 112413422171. The next prime is 112413422203. The reversal of 112413422200 is 2224314211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112413422203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736917 + ... + 876283.

It is an arithmetic number, because the mean of its divisors is an integer number (2821766475).

Almost surely, 2112413422200 is an apocalyptic number.

112413422200 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 112413422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135444790800).

112413422200 is an abundant number, since it is smaller than the sum of its proper divisors (158476159400).

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

112413422200 is a wasteful number, since it uses less digits than its factorization.

112413422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139529 (or 139520 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112413422200 its reverse (2224314211), we get a palindrome (114637736411).

The spelling of 112413422200 in words is "one hundred twelve billion, four hundred thirteen million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 109 148 185 200 218 296 370 436 545 740 872 925 1090 1480 1850 2180 2725 3700 4033 4360 5450 7400 8066 10900 16132 20165 21800 32264 40330 80660 100825 139367 161320 201650 278734 403300 557468 696835 806600 1114936 1393670 2787340 3484175 5156579 5574680 6968350 10313158 13936700 15191003 20626316 25782895 27873400 30382006 41252632 51565790 60764012 75955015 103131580 121528024 128914475 151910030 206263160 257828950 303820060 379775075 515657900 562067111 607640120 759550150 1031315800 1124134222 1519100300 2248268444 2810335555 3038200600 4496536888 5620671110 11241342220 14051677775 22482684440 28103355550 56206711100 112413422200