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220100202202381 is a prime number
BaseRepresentation
bin110010000010111000010010…
…010111100000010100001101
31001212022101002112012211222221
4302002320102113200110031
5212322110203230434011
62100040345332335341
764234500123114304
oct6202702227402415
91055271075184887
10220100202202381
1164148a76163096
1220828a88474551
1395a748ac2ac17
143c4cc99ad943b
151a6a4a0ca1971
hexc82e125e050d

220100202202381 has 2 divisors, whose sum is σ = 220100202202382. Its totient is φ = 220100202202380.

The previous prime is 220100202202357. The next prime is 220100202202399. The reversal of 220100202202381 is 183202202001022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199331082193156 + 20769120009225 = 14118466^2 + 4557315^2 .

It is a cyclic number.

It is not a de Polignac number, because 220100202202381 - 27 = 220100202202253 is a prime.

It is a super-2 number, since 2×2201002022023812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220100202212381) 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 as a sum of consecutive naturals, namely, 110050101101190 + 110050101101191.

It is an arithmetic number, because the mean of its divisors is an integer number (110050101101191).

Almost surely, 2220100202202381 is an apocalyptic number.

It is an amenable number.

220100202202381 is a deficient number, since it is larger than the sum of its proper divisors (1).

220100202202381 is an equidigital number, since it uses as much as digits as its factorization.

220100202202381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 220100202202381 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, two hundred two thousand, three hundred eighty-one".