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221233332122 = 211131106971809
BaseRepresentation
bin1100111000001010001…
…0001011111110011010
3210011001010112201100122
43032002202023332122
512111041213111442
6245344434033242
721661240203245
oct3160242137632
9704033481318
10221233332122
11859084a2970
1236a62718822
1317b2938bb1a
14a9ca0d225c
155b4c611dd2
hex338288bf9a

221233332122 has 32 divisors (see below), whose sum is σ = 365127998400. Its totient is φ = 99698227200.

The previous prime is 221233332101. The next prime is 221233332181.

221233332122 is nontrivially palindromic in base 10.

221233332122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221233332091 and 221233332100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3044954 + ... + 3116762.

It is an arithmetic number, because the mean of its divisors is an integer number (11410249950).

Almost surely, 2221233332122 is an apocalyptic number.

221233332122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221233332122 is a deficient number, since it is larger than the sum of its proper divisors (143894666278).

221233332122 is a wasteful number, since it uses less digits than its factorization.

221233332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73022.

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 221233 and 332122, that added together give a palindrome (553355).

The spelling of 221233332122 in words is "two hundred twenty-one billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 131 262 1069 1441 2138 2882 11759 23518 71809 140039 143618 280078 789899 1540429 1579798 3080858 9406979 18813958 76763821 103476769 153527642 206953538 844402031 1688804062 10056060551 20112121102 110616666061 221233332122