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2200120100 = 225253571727
BaseRepresentation
bin1000001100100011…
…0010101100100100
312200022220200101122
42003020302230210
514001212320400
61002152113112
7105343466213
oct20310625444
95608820348
102200120100
11a29a01882
12514995798
13290a74219
1416c2ad07a
15cd242685
hex83232b24

2200120100 has 72 divisors (see below), whose sum is σ = 4879562688. Its totient is φ = 860745600.

The previous prime is 2200120079. The next prime is 2200120141. The reversal of 2200120100 is 10210022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025937 + ... + 3026663.

It is an arithmetic number, because the mean of its divisors is an integer number (67771704).

Almost surely, 22200120100 is an apocalyptic number.

2200120100 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 2200120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439781344).

2200120100 is an abundant number, since it is smaller than the sum of its proper divisors (2679442588).

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

2200120100 is a wasteful number, since it uses less digits than its factorization.

2200120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

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

The square root of 2200120100 is about 46905.4378510637. The cubic root of 2200120100 is about 1300.6151132439.

Adding to 2200120100 its reverse (10210022), we get a palindrome (2210330122).

The spelling of 2200120100 in words is "two billion, two hundred million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 571 727 1060 1142 1325 1454 2284 2650 2855 2908 3635 5300 5710 7270 11420 14275 14540 18175 28550 30263 36350 38531 57100 60526 72700 77062 121052 151315 154124 192655 302630 385310 415117 605260 756575 770620 830234 963275 1513150 1660468 1926550 2075585 3026300 3853100 4151170 8302340 10377925 20755850 22001201 41511700 44002402 88004804 110006005 220012010 440024020 550030025 1100060050 2200120100