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2100202221 = 313195321009
BaseRepresentation
bin111110100101110…
…1000101011101101
312102100220022211110
41331023220223231
513300122432341
6544222342233
7103021265355
oct17513505355
95370808743
102100202221
11988567017
124a742a979
1327615bc10
1415ccddb65
15c45a7216
hex7d2e8aed

2100202221 has 48 divisors (see below), whose sum is σ = 3238625600. Its totient is φ = 1200116736.

The previous prime is 2100202217. The next prime is 2100202249. The reversal of 2100202221 is 1222020012.

It is not a de Polignac number, because 2100202221 - 22 = 2100202217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100202197 and 2100202206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100202211) 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 47 ways as a sum of consecutive naturals, for example, 2080965 + ... + 2081973.

Almost surely, 22100202221 is an apocalyptic number.

It is an amenable number.

2100202221 is a deficient number, since it is larger than the sum of its proper divisors (1138423379).

2100202221 is a wasteful number, since it uses less digits than its factorization.

2100202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100202221 is about 45827.9633084430. The cubic root of 2100202221 is about 1280.6202684300.

Adding to 2100202221 its reverse (1222020012), we get a palindrome (3322222233).

The spelling of 2100202221 in words is "two billion, one hundred million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 13 19 39 53 57 159 247 689 741 1007 1009 2067 2809 3021 3027 8427 13091 13117 19171 36517 39273 39351 53371 53477 57513 109551 160113 160431 249223 693823 695201 747669 1016063 2081469 2085603 2834281 3048189 8502843 13208819 36845653 39626457 53851339 110536959 161554017 700067407 2100202221