Search a number
-
+
2100202110 = 232548747917
BaseRepresentation
bin111110100101110…
…1000101001111110
312102100220022200100
41331023220221332
513300122431420
6544222341530
7103021265136
oct17513505176
95370808610
102100202110
11988566a26
124a742a8a6
1327615bb56
1415ccddac6
15c45a7190
hex7d2e8a7e

2100202110 has 48 divisors (see below), whose sum is σ = 5471852256. Its totient is φ = 558892224.

The previous prime is 2100202057. The next prime is 2100202141. The reversal of 2100202110 is 112020012.

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 = 2100202092 and 2100202101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19872 + ... + 67788.

It is an arithmetic number, because the mean of its divisors is an integer number (113996922).

Almost surely, 22100202110 is an apocalyptic number.

2100202110 is an abundant number, since it is smaller than the sum of its proper divisors (3371650146).

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

2100202110 is a wasteful number, since it uses less digits than its factorization.

2100202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48417 (or 48414 counting only the distinct ones).

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

The square root of 2100202110 is about 45827.9620973920. The cubic root of 2100202110 is about 1280.6202458688.

Adding to 2100202110 its reverse (112020012), we get a palindrome (2212222122).

The spelling of 2100202110 in words is "two billion, one hundred million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 487 974 1461 2435 2922 4383 4870 7305 8766 14610 21915 43830 47917 95834 143751 239585 287502 431253 479170 718755 862506 1437510 2156265 4312530 23335579 46671158 70006737 116677895 140013474 210020211 233355790 350033685 420040422 700067370 1050101055 2100202110