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2300100221 = 176117312821
BaseRepresentation
bin1000100100011000…
…1011111001111101
312221022001012100002
42021012023321331
514202311201341
61020123044045
7110666346356
oct21106137175
95838035302
102300100221
11a8038a381
12542370625
132a86ab963
1417b696d2d
15d6de129b
hex8918be7d

2300100221 has 16 divisors (see below), whose sum is σ = 2489827248. Its totient is φ = 2116838400.

The previous prime is 2300100199. The next prime is 2300100251. The reversal of 2300100221 is 1220010032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 80371225 + 2219728996 = 8965^2 + 47114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2300100221 is a prime.

It is a super-2 number, since 2×23001002212 = 10580922053288497682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300100251) 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 15 ways as a sum of consecutive naturals, for example, 172991 + ... + 185811.

It is an arithmetic number, because the mean of its divisors is an integer number (155614203).

Almost surely, 22300100221 is an apocalyptic number.

It is an amenable number.

2300100221 is a deficient number, since it is larger than the sum of its proper divisors (189727027).

2300100221 is a wasteful number, since it uses less digits than its factorization.

2300100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2300100221 is about 47959.3600978996. The cubic root of 2300100221 is about 1320.0252943194.

Adding to 2300100221 its reverse (1220010032), we get a palindrome (3520110253).

The spelling of 2300100221 in words is "two billion, three hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 17 61 173 1037 2941 10553 12821 179401 217957 782081 2218033 13295377 37706561 135300013 2300100221