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2120122100 = 225261347561
BaseRepresentation
bin111111001011110…
…0111111011110100
312110202101100202202
41332113213323310
513320222401400
6550213324032
7103352511665
oct17627477364
95422340682
102120122100
11998832128
124b2036618
1327a314a25
1416180736c
15c61de4d5
hex7e5e7ef4

2120122100 has 36 divisors (see below), whose sum is σ = 4676099148. Its totient is φ = 834144000.

The previous prime is 2120122097. The next prime is 2120122141. The reversal of 2120122100 is 12210212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 102495376 + 2017626724 = 10124^2 + 44918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167681 + ... + 179880.

It is an arithmetic number, because the mean of its divisors is an integer number (129891643).

Almost surely, 22120122100 is an apocalyptic number.

2120122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120122100 is an abundant number, since it is smaller than the sum of its proper divisors (2555977048).

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

2120122100 is a wasteful number, since it uses less digits than its factorization.

2120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347636 (or 347629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2120122100 is about 46044.7836350655. The cubic root of 2120122100 is about 1284.6563197430.

Adding to 2120122100 its reverse (12210212), we get a palindrome (2132332312).

The spelling of 2120122100 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 347561 695122 1390244 1737805 3475610 6951220 8689025 17378050 21201221 34756100 42402442 84804884 106006105 212012210 424024420 530030525 1060061050 2120122100