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112200201100 = 225213183147137
BaseRepresentation
bin110100001111110100…
…1110011001110001100
3101201121102110202212201
41220133221303032030
53314241222413400
6123313303411244
711051265654631
oct1503751631614
9351542422781
10112200201100
11436470a7829
12198b3753b24
13a77129bc50
1456054b4188
152dba35406a
hex1a1fa7338c

112200201100 has 72 divisors (see below), whose sum is σ = 262352007008. Its totient is φ = 41404262400.

The previous prime is 112200201083. The next prime is 112200201103. The reversal of 112200201100 is 1102002211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112200201103) 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, 2356732 + ... + 2403868.

Almost surely, 2112200201100 is an apocalyptic number.

112200201100 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 112200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131176003504).

112200201100 is an abundant number, since it is smaller than the sum of its proper divisors (150151805908).

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

112200201100 is a wasteful number, since it uses less digits than its factorization.

112200201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48995 (or 48988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112200201100 its reverse (1102002211), we get a palindrome (113302203311).

The spelling of 112200201100 in words is "one hundred twelve billion, two hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1831 3662 7324 9155 18310 23803 36620 45775 47137 47606 91550 94274 95212 119015 183100 188548 235685 238030 471370 476060 595075 612781 942740 1178425 1190150 1225562 2356850 2380300 2451124 3063905 4713700 6127810 12255620 15319525 30639050 61278100 86307847 172615694 345231388 431539235 863078470 1122002011 1726156940 2157696175 2244004022 4315392350 4488008044 5610010055 8630784700 11220020110 22440040220 28050050275 56100100550 112200201100