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123232242232321 = 1013617472171453
BaseRepresentation
bin11100000001010000111110…
…000001011110110000000001
3121011022212221211210002202121
4130001100332001132300001
5112123014113002413241
61114032035513244241
734646143561636465
oct3401207601366001
9534285854702677
10123232242232321
11362a155609a482
12119a3298703681
13539b99b03b101
1422606881a44a5
15e3a847c07ad1
hex70143e05ec01

123232242232321 has 16 divisors (see below), whose sum is σ = 124514882380368. Its totient is φ = 121950843904000.

The previous prime is 123232242232279. The next prime is 123232242232339.

It is a happy number.

123232242232321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2716197351921 + 120516044880400 = 1648089^2 + 10977980^2 .

It is a cyclic number.

It is not a de Polignac number, because 123232242232321 - 237 = 123094803278849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123232242232921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724625831 + ... + 1724697283.

It is an arithmetic number, because the mean of its divisors is an integer number (7782180148773).

Almost surely, 2123232242232321 is an apocalyptic number.

It is an amenable number.

123232242232321 is a deficient number, since it is larger than the sum of its proper divisors (1282640148047).

123232242232321 is a wasteful number, since it uses less digits than its factorization.

123232242232321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79892.

The product of its digits is 82944, while the sum is 34.

The spelling of 123232242232321 in words is "one hundred twenty-three trillion, two hundred thirty-two billion, two hundred forty-two million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 101 3617 4721 71453 365317 476821 7216753 17075857 258445501 337329613 1724661557 26102995601 34070290913 1220121210221 123232242232321