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221011000110122 = 27313711049445061
BaseRepresentation
bin110010010000001000100010…
…001001110010110000101010
31001222112110000121011111000012
4302100020202021302300222
5212432021012012010442
62102015015104411522
764360342420440365
oct6220104211626052
91058473017144005
10221011000110122
116446a2698a9882
12209554b4916ba2
13964232b7a3c41
143c80dbd1c70dc
151a8400b24d582
hexc90222272c2a

221011000110122 has 16 divisors (see below), whose sum is σ = 338510798919432. Its totient is φ = 108196166027520.

The previous prime is 221011000110119. The next prime is 221011000110181.

221011000110122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 220984606533601 + 26393576521 = 14865551^2 + 162461^2 .

It is a super-2 number, since 2×2210110001101222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221011000110097 and 221011000110106.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5524702529 + ... + 5524742532.

Almost surely, 2221011000110122 is an apocalyptic number.

221011000110122 is a deficient number, since it is larger than the sum of its proper divisors (117499798809310).

221011000110122 is a wasteful number, since it uses less digits than its factorization.

221011000110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049445273.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 221011000 and 110122, that added together give a palindrome (221121122).

The spelling of 221011000110122 in words is "two hundred twenty-one trillion, eleven billion, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 73 137 146 274 10001 20002 11049445061 22098890122 806609489453 1513773973357 1613218978906 3027547946714 110505500055061 221011000110122