Search a number
-
+
123101334 = 2326838963
BaseRepresentation
bin1110101011001…
…10000010010110
322120122012021200
413111212002112
5223003220314
620114253330
73023226006
oct725460226
9276565250
10123101334
116353a944
1235287246
131c671735
14124c6006
15ac19709
hex7566096

123101334 has 12 divisors (see below), whose sum is σ = 266719596. Its totient is φ = 41033772.

The previous prime is 123101333. The next prime is 123101347. The reversal of 123101334 is 433101321.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6838963 = 123101334 / (1 + 2 + 3 + 1 + 0 + 1 + 3 + 3 + 4).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123101333) 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 5 ways as a sum of consecutive naturals, for example, 3419464 + ... + 3419499.

It is an arithmetic number, because the mean of its divisors is an integer number (22226633).

Almost surely, 2123101334 is an apocalyptic number.

123101334 is an abundant number, since it is smaller than the sum of its proper divisors (143618262).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123101334 is a wasteful number, since it uses less digits than its factorization.

123101334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838971 (or 6838968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123101334 is about 11095.1040553931. The cubic root of 123101334 is about 497.4555185267.

Adding to 123101334 its reverse (433101321), we get a palindrome (556202655).

The spelling of 123101334 in words is "one hundred twenty-three million, one hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 6838963 13677926 20516889 41033778 61550667 123101334