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2100422052 = 2232354116477
BaseRepresentation
bin111110100110001…
…1110010110100100
312102101022111101100
41331030132112210
513300202001202
6544231200100
7103023202311
oct17514362644
95371274340
102100422052
119886a71a3
124a7516030
13276207cb1
1415cd59d08
15c45ec41c
hex7d31e5a4

2100422052 has 36 divisors (see below), whose sum is σ = 5311221916. Its totient is φ = 699900480.

The previous prime is 2100422033. The next prime is 2100422053. The reversal of 2100422052 is 2502240012.

It can be written as a sum of positive squares in 2 ways, for example, as 788823396 + 1311598656 = 28086^2 + 36216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2100422053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119238 + ... + 135714.

Almost surely, 22100422052 is an apocalyptic number.

It is an amenable number.

2100422052 is an abundant number, since it is smaller than the sum of its proper divisors (3210799864).

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

2100422052 is a wasteful number, since it uses less digits than its factorization.

2100422052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20028 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2100422052 is about 45830.3616830590. The cubic root of 2100422052 is about 1280.6649482882.

Adding to 2100422052 its reverse (2502240012), we get a palindrome (4602662064).

The spelling of 2100422052 in words is "two billion, one hundred million, four hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3541 7082 10623 14164 16477 21246 31869 32954 42492 49431 63738 65908 98862 127476 148293 197724 296586 593172 58345057 116690114 175035171 233380228 350070342 525105513 700140684 1050211026 2100422052