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123420213 = 3373791723
BaseRepresentation
bin1110101101100…
…11111000110101
322121020101201000
413112303320311
5223043421323
620125153513
73026024460
oct726637065
9277211630
10123420213
1163738484
12353bb899
131c753917
141256a2d7
15ac7de43
hex75b3e35

123420213 has 32 divisors (see below), whose sum is σ = 209638400. Its totient is φ = 70298928.

The previous prime is 123420203. The next prime is 123420229. The reversal of 123420213 is 312024321.

It is not a de Polignac number, because 123420213 - 28 = 123419957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420203) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 70770 + ... + 72492.

It is an arithmetic number, because the mean of its divisors is an integer number (6551200).

Almost surely, 2123420213 is an apocalyptic number.

It is an amenable number.

123420213 is a deficient number, since it is larger than the sum of its proper divisors (86218187).

123420213 is a wasteful number, since it uses less digits than its factorization.

123420213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123420213 is about 11109.4650186226. The cubic root of 123420213 is about 497.8846808029.

Adding to 123420213 its reverse (312024321), we get a palindrome (435444534).

The spelling of 123420213 in words is "one hundred twenty-three million, four hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 379 1137 1723 2653 3411 5169 7959 10233 12061 15507 23877 36183 46521 71631 108549 325647 653017 1959051 4571119 5877153 13713357 17631459 41140071 123420213