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202222212122101 = 1731619372186409
BaseRepresentation
bin101101111110101110000111…
…000111101000010111110101
3222112000020212122210022022211
4231332232013013220113311
5203001202042300401401
61554031333551253421
760411033634561213
oct5576560707502765
9875006778708284
10202222212122101
1159485a5a903436
121a82002981a271
1388ab61b904122
1437d1870591cb3
15185a3e5570951
hexb7eb871e85f5

202222212122101 has 8 divisors (see below), whose sum is σ = 203403689895960. Its totient is φ = 201040878753792.

The previous prime is 202222212122089. The next prime is 202222212122129. The reversal of 202222212122101 is 101221212222202.

It can be written as a sum of positive squares in 4 ways, for example, as 107729328767076 + 94492883355025 = 10379274^2 + 9720745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202222212122101 - 245 = 167037840033269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202222212422101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33291816 + ... + 38894593.

It is an arithmetic number, because the mean of its divisors is an integer number (25425461236995).

Almost surely, 2202222212122101 is an apocalyptic number.

It is an amenable number.

202222212122101 is a deficient number, since it is larger than the sum of its proper divisors (1181477773859).

202222212122101 is a wasteful number, since it uses less digits than its factorization.

202222212122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72202775.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202222212122101 its reverse (101221212222202), we get a palindrome (303443424344303).

It can be divided in two parts, 20222221 and 2122101, that added together give a palindrome (22344322).

The spelling of 202222212122101 in words is "two hundred two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 173 16193 2801389 72186409 12488248757 1168914520937 202222212122101