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123821332 = 22113273941
BaseRepresentation
bin1110110000101…
…01110100010100
322121222202221021
413120111310110
5223144240312
620141530524
73032315065
oct730256424
9277882837
10123821332
1163991888
1235573a44
131c86437b
141263256c
15ad0cc07
hex7615d14

123821332 has 12 divisors (see below), whose sum is σ = 218605716. Its totient is φ = 61362560.

The previous prime is 123821311. The next prime is 123821333. The reversal of 123821332 is 233128321.

It can be written as a sum of positive squares in 2 ways, for example, as 58308496 + 65512836 = 7636^2 + 8094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123821297 and 123821306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123821333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136519 + ... + 137422.

It is an arithmetic number, because the mean of its divisors is an integer number (18217143).

Almost surely, 2123821332 is an apocalyptic number.

It is an amenable number.

123821332 is a deficient number, since it is larger than the sum of its proper divisors (94784384).

123821332 is a wasteful number, since it uses less digits than its factorization.

123821332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274058 (or 274056 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 123821332 is about 11127.5034037290. The cubic root of 123821332 is about 498.4234770418.

Adding to 123821332 its reverse (233128321), we get a palindrome (356949653).

The spelling of 123821332 in words is "one hundred twenty-three million, eight hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 113 226 452 273941 547882 1095764 30955333 61910666 123821332