Search a number
-
+
123133301331 = 3233748230827
BaseRepresentation
bin111001010101101010…
…0010001001001010011
3102202211101000210212220
41302223110101021103
54004134111120311
6132322221552123
711616233535465
oct1625324211123
9382741023786
10123133301331
11482475a1857
121ba45115643
13b7c43a1c21
145d6152c135
15330a0cb206
hex1cab511253

123133301331 has 16 divisors (see below), whose sum is σ = 175946060544. Its totient is φ = 76397628384.

The previous prime is 123133301327. The next prime is 123133301353. The reversal of 123133301331 is 133103331321.

It is not a de Polignac number, because 123133301331 - 22 = 123133301327 is a prime.

It is a super-2 number, since 2×1231333013312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123133301381) 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 15 ways as a sum of consecutive naturals, for example, 24112861 + ... + 24117966.

It is an arithmetic number, because the mean of its divisors is an integer number (10996628784).

Almost surely, 2123133301331 is an apocalyptic number.

123133301331 is a deficient number, since it is larger than the sum of its proper divisors (52812759213).

123133301331 is a wasteful number, since it uses less digits than its factorization.

123133301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48230890.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 123133301331 its reverse (133103331321), we get a palindrome (256236632652).

The spelling of 123133301331 in words is "one hundred twenty-three billion, one hundred thirty-three million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 23 37 69 111 851 2553 48230827 144692481 1109309021 1784540599 3327927063 5353621797 41044433777 123133301331