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2100112021 = 7259726431
BaseRepresentation
bin111110100101101…
…0010101010010101
312102100201202002201
41331023102222111
513300112041041
6544220404501
7103020441400
oct17513225225
95370652081
102100112021
11988505277
124a73a6731
13276129b47
1415ccb8d37
15c458a631
hex7d2d2a95

2100112021 has 12 divisors (see below), whose sum is σ = 2484397440. Its totient is φ = 1769583480.

The previous prime is 2100112013. The next prime is 2100112031. The reversal of 2100112021 is 1202110012.

It is not a de Polignac number, because 2100112021 - 23 = 2100112013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100111989 and 2100112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100112031) 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, 360325 + ... + 366106.

It is an arithmetic number, because the mean of its divisors is an integer number (207033120).

Almost surely, 22100112021 is an apocalyptic number.

It is an amenable number.

2100112021 is a deficient number, since it is larger than the sum of its proper divisors (384285419).

2100112021 is an equidigital number, since it uses as much as digits as its factorization.

2100112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726504 (or 726497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100112021 is about 45826.9791825732. The cubic root of 2100112021 is about 1280.6019347030.

Adding to 2100112021 its reverse (1202110012), we get a palindrome (3302222033).

The spelling of 2100112021 in words is "two billion, one hundred million, one hundred twelve thousand, twenty-one".

Divisors: 1 7 49 59 413 2891 726431 5085017 35595119 42859429 300016003 2100112021