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221011020110122 = 21128866110300681
BaseRepresentation
bin110010010000001000100011…
…010110000101100100101010
31001222112110001222210120211221
4302100020203112011210222
5212432021032122010442
62102015021101212254
764360343052436414
oct6220104326054452
91058473058716757
10221011020110122
116446a27a11a100
12209554bb56108a
139642332987368
143c80dc1b119b4
151a8400cd9e467
hexc9022358592a

221011020110122 has 24 divisors (see below), whose sum is σ = 364398347926116. Its totient is φ = 100458411768000.

The previous prime is 221011020110113. The next prime is 221011020110189.

221011020110122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 147306065054841 + 73704955055281 = 12136971^2 + 8585159^2 .

It is a super-2 number, since 2×2210110201101222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221011020110096 and 221011020110105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16305622 + ... + 26606302.

Almost surely, 2221011020110122 is an apocalyptic number.

221011020110122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221011020110122 is a deficient number, since it is larger than the sum of its proper divisors (143387327815994).

221011020110122 is a wasteful number, since it uses less digits than its factorization.

221011020110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389366 (or 10389355 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 221011020110122 in words is "two hundred twenty-one trillion, eleven billion, twenty million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 242 88661 177322 975271 1950542 10300681 10727981 20601362 21455962 113307491 226614982 1246382401 2492764802 913268678141 1826537356282 10045955459551 20091910919102 110505510055061 221011020110122