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220102002100 = 225219115843159
BaseRepresentation
bin1100110011111100011…
…0100000010110110100
3210001010021202012022201
43030333012200112310
512101232103031400
6245040301434244
721621222102061
oct3147706402664
9701107665281
10220102002100
1185387929982
12367a786b984
13179a8b8b986
14a91db59c68
155ad313d06a
hex333f1a05b4

220102002100 has 36 divisors (see below), whose sum is σ = 502759314400. Its totient is φ = 83407073760.

The previous prime is 220102002089. The next prime is 220102002101. The reversal of 220102002100 is 1200201022.

220102002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (220102002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57919680 + ... + 57923479.

Almost surely, 2220102002100 is an apocalyptic number.

220102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102002100 is an abundant number, since it is smaller than the sum of its proper divisors (282657312300).

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

220102002100 is a wasteful number, since it uses less digits than its factorization.

220102002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115843192 (or 115843185 counting only the distinct ones).

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

Adding to 220102002100 its reverse (1200201022), we get a palindrome (221302203122).

The spelling of 220102002100 in words is "two hundred twenty billion, one hundred two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 115843159 231686318 463372636 579215795 1158431590 2201020021 2316863180 2896078975 4402040042 5792157950 8804080084 11005100105 11584315900 22010200210 44020400420 55025500525 110051001050 220102002100