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123066141 = 311137163167
BaseRepresentation
bin1110101010111…
…01011100011101
322120120102000020
413111131130131
5223001104031
620113422353
73023021262
oct725353435
9276512006
10123066141
1163516460
123526a9b9
131c65b703
14124b7269
15ac0e096
hex755d71d

123066141 has 32 divisors (see below), whose sum is σ = 182504448. Its totient is φ = 73146240.

The previous prime is 123066137. The next prime is 123066143. The reversal of 123066141 is 141660321.

It is not a de Polignac number, because 123066141 - 22 = 123066137 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123066143) 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, 736840 + ... + 737006.

It is an arithmetic number, because the mean of its divisors is an integer number (5703264).

Almost surely, 2123066141 is an apocalyptic number.

123066141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123066141 is a deficient number, since it is larger than the sum of its proper divisors (59438307).

123066141 is a wasteful number, since it uses less digits than its factorization.

123066141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 123066141 is about 11093.5179722214. The cubic root of 123066141 is about 497.4081087489.

The spelling of 123066141 in words is "one hundred twenty-three million, sixty-six thousand, one hundred forty-one".

Divisors: 1 3 11 33 137 163 167 411 489 501 1507 1793 1837 4521 5379 5511 22331 22879 27221 66993 68637 81663 245641 251669 299431 736923 755007 898293 3729277 11187831 41022047 123066141