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202221120101 = 711131373147137
BaseRepresentation
bin1011110001010101010…
…0010110101001100101
3201022222010201021110212
42330111110112221211
511303122101320401
6232522112225205
720416141105550
oct2742524265145
9638863637425
10202221120101
1178841606650
123323753b205
13160b9536a20
149b05099697
1553d8463dbb
hex2f15516a65

202221120101 has 32 divisors (see below), whose sum is σ = 271713270528. Its totient is φ = 145346826240.

The previous prime is 202221120077. The next prime is 202221120103. The reversal of 202221120101 is 101021122202.

202221120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202221120101 - 26 = 202221120037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221120103) 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 31 ways as a sum of consecutive naturals, for example, 1300805 + ... + 1447941.

It is an arithmetic number, because the mean of its divisors is an integer number (8491039704).

Almost surely, 2202221120101 is an apocalyptic number.

It is an amenable number.

202221120101 is a deficient number, since it is larger than the sum of its proper divisors (69492150427).

202221120101 is a wasteful number, since it uses less digits than its factorization.

202221120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148541.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202221120101 its reverse (101021122202), we get a palindrome (303242242303).

The spelling of 202221120101 in words is "two hundred two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred one".

Divisors: 1 7 11 13 77 91 143 1001 1373 9611 15103 17849 105721 124943 147137 196339 1029959 1374373 1618507 1912781 11329549 13389467 21040591 147284137 202019101 1414133707 2222210111 2626248313 15555470777 18383738191 28888731443 202221120101