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112021200100 = 225231358110091
BaseRepresentation
bin110100001010011111…
…0111101110011100100
3101201010221122120200001
41220110332331303210
53313404411400400
6123243431031044
711043663330055
oct1502476756344
9351127576601
10112021200100
1143565057717
121986380b484
13a7431879b4
1455c97da72c
152da9796a6a
hex1a14fbdce4

112021200100 has 72 divisors (see below), whose sum is σ = 251022433536. Its totient is φ = 43346640000.

The previous prime is 112021200073. The next prime is 112021200107. The reversal of 112021200100 is 1002120211.

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 (112021200107) 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, 11096055 + ... + 11106145.

It is an arithmetic number, because the mean of its divisors is an integer number (3486422688).

Almost surely, 2112021200100 is an apocalyptic number.

112021200100 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 112021200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125511216768).

112021200100 is an abundant number, since it is smaller than the sum of its proper divisors (139001233436).

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

112021200100 is a wasteful number, since it uses less digits than its factorization.

112021200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13710 counting only the distinct ones).

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

Adding to 112021200100 its reverse (1002120211), we get a palindrome (113023320311).

The spelling of 112021200100 in words is "one hundred twelve billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3581 7162 10091 14324 17905 20182 35810 40364 50455 71620 89525 100910 111011 179050 201820 222022 252275 312821 358100 444044 504550 555055 625642 1009100 1110110 1251284 1564105 2220220 2775275 3128210 5550550 6256420 7820525 11101100 15641050 31282100 36135871 72271742 144543484 180679355 361358710 722717420 903396775 1120212001 1806793550 2240424002 3613587100 4480848004 5601060005 11202120010 22404240020 28005300025 56010600050 112021200100