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2100112020 = 2232511667289
BaseRepresentation
bin111110100101101…
…0010101010010100
312102100201202002200
41331023102222110
513300112041040
6544220404500
7103020441366
oct17513225224
95370652080
102100112020
11988505276
124a73a6730
13276129b46
1415ccb8d36
15c458a630
hex7d2d2a94

2100112020 has 36 divisors (see below), whose sum is σ = 6370340340. Its totient is φ = 560029824.

The previous prime is 2100112013. The next prime is 2100112031. The reversal of 2100112020 is 202110012.

It can be written as a sum of positive squares in 2 ways, for example, as 966712464 + 1133399556 = 31092^2 + 33666^2 .

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100111993 and 2100112011.

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, 5833465 + ... + 5833824.

Almost surely, 22100112020 is an apocalyptic number.

2100112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100112020 is an abundant number, since it is smaller than the sum of its proper divisors (4270228320).

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

2100112020 is a wasteful number, since it uses less digits than its factorization.

2100112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667304 (or 11667299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100112020 is about 45826.9791716626. The cubic root of 2100112020 is about 1280.6019344998.

Adding to 2100112020 its reverse (202110012), we get a palindrome (2302222032).

The spelling of 2100112020 in words is "two billion, one hundred million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11667289 23334578 35001867 46669156 58336445 70003734 105005601 116672890 140007468 175009335 210011202 233345780 350018670 420022404 525028005 700037340 1050056010 2100112020