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2122041100 = 225241517571
BaseRepresentation
bin111111001111011…
…1100011100001100
312110212222212010211
41332132330130030
513321220303400
6550322412204
7103405023514
oct17636743414
95425885124
102122041100
11999922983
124b2801064
1327a83732a
14161b86844
15c646cdba
hex7e7bc70c

2122041100 has 36 divisors (see below), whose sum is σ = 4717151208. Its totient is φ = 828112000.

The previous prime is 2122041079. The next prime is 2122041101. The reversal of 2122041100 is 11402212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2122041101) 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, 254686 + ... + 262885.

It is an arithmetic number, because the mean of its divisors is an integer number (131031978).

Almost surely, 22122041100 is an apocalyptic number.

2122041100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122041100 is an abundant number, since it is smaller than the sum of its proper divisors (2595110108).

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

2122041100 is a wasteful number, since it uses less digits than its factorization.

2122041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517626 (or 517619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122041100 is about 46065.6173300652. The cubic root of 2122041100 is about 1285.0437993216.

Adding to 2122041100 its reverse (11402212), we get a palindrome (2133443312).

The spelling of 2122041100 in words is "two billion, one hundred twenty-two million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 517571 1035142 2070284 2587855 5175710 10351420 12939275 21220411 25878550 42440822 51757100 84881644 106102055 212204110 424408220 530510275 1061020550 2122041100