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2201000112100 = 2252226930613169
BaseRepresentation
bin100000000001110101110…
…101000110111111100100
321210102011111000111100101
4200001311311012333210
5242030122012041400
64403043034553444
7315005556160546
oct40016565067744
97712144014311
102201000112100
11779491202009
122b669a598884
1312c726b2c74a
147875970b696
153c3be15656a
hex20075d46fe4

2201000112100 has 72 divisors (see below), whose sum is σ = 4781344538600. Its totient is φ = 879446937600.

The previous prime is 2201000112011. The next prime is 2201000112107. The reversal of 2201000112100 is 12110001022.

It can be written as a sum of positive squares in 12 ways, for example, as 274989067236 + 1926011044864 = 524394^2 + 1387808^2 .

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 (2201000112107) 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, 694539316 + ... + 694542484.

Almost surely, 22201000112100 is an apocalyptic number.

2201000112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201000112100 is an abundant number, since it is smaller than the sum of its proper divisors (2580344426500).

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

2201000112100 is a wasteful number, since it uses less digits than its factorization.

2201000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513 (or 8506 counting only the distinct ones).

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

Adding to 2201000112100 its reverse (12110001022), we get a palindrome (2213110113122).

The spelling of 2201000112100 in words is "two trillion, two hundred one billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2269 3061 3169 4538 6122 6338 9076 11345 12244 12676 15305 15845 22690 30610 31690 45380 56725 61220 63380 76525 79225 113450 153050 158450 226900 306100 316900 6945409 7190461 9700309 13890818 14380922 19400618 27781636 28761844 34727045 35952305 38801236 48501545 69454090 71904610 97003090 138908180 143809220 173635225 179761525 194006180 242507725 347270450 359523050 485015450 694540900 719046100 970030900 22010001121 44020002242 88040004484 110050005605 220100011210 440200022420 550250028025 1100500056050 2201000112100