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22120002100 = 2252740178803
BaseRepresentation
bin10100100110011101…
…000111001000110100
32010002120200112102001
4110212131013020310
5330300210031400
614054540225044
71412103626020
oct244635071064
963076615361
1022120002100
119421189a79
124353b3b184
132116979b51
1410dba9b380
15896e34a6a
hex526747234

22120002100 has 72 divisors (see below), whose sum is σ = 54995105088. Its totient is φ = 7564992000.

The previous prime is 22120002059. The next prime is 22120002101. The reversal of 22120002100 is 120002122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120002101) 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, 241299 + ... + 320101.

It is an arithmetic number, because the mean of its divisors is an integer number (763820904).

Almost surely, 222120002100 is an apocalyptic number.

22120002100 is a gapful number since it is divisible by the number (20) 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 22120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27497552544).

22120002100 is an abundant number, since it is smaller than the sum of its proper divisors (32875102988).

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

22120002100 is a wasteful number, since it uses less digits than its factorization.

22120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79225 (or 79218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22120002100 its reverse (120002122), we get a palindrome (22240004222).

The spelling of 22120002100 in words is "twenty-two billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 401 700 802 1604 2005 2807 4010 5614 8020 10025 11228 14035 20050 28070 40100 56140 70175 78803 140350 157606 280700 315212 394015 551621 788030 1103242 1576060 1970075 2206484 2758105 3940150 5516210 7880300 11032420 13790525 27581050 31600003 55162100 63200006 126400012 158000015 221200021 316000030 442400042 632000060 790000075 884800084 1106000105 1580000150 2212000210 3160000300 4424000420 5530000525 11060001050 22120002100