Search a number
-
+
233103323223 = 3265939302533
BaseRepresentation
bin1101100100011000001…
…0100111000001010111
3211021200101000202000200
43121012002213001113
512304343422320343
6255030341111543
722561342361301
oct3310602470127
9737611022020
10233103323223
118a949826971
12392159b85b3
1318c9b603ab4
14b3d474a971
1560e47514d3
hex36460a7057

233103323223 has 12 divisors (see below), whose sum is σ = 337215741720. Its totient is φ = 155166396336.

The previous prime is 233103323203. The next prime is 233103323227. The reversal of 233103323223 is 322323301332.

233103323223 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 0 + 332 + 322 + 3 = 666.

It is not a de Polignac number, because 233103323223 - 213 = 233103315031 is a prime.

It is a super-2 number, since 2×2331033232232 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233103323227) 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 11 ways as a sum of consecutive naturals, for example, 19645336 + ... + 19657197.

It is an arithmetic number, because the mean of its divisors is an integer number (28101311810).

Almost surely, 2233103323223 is an apocalyptic number.

233103323223 is a deficient number, since it is larger than the sum of its proper divisors (104112418497).

233103323223 is a wasteful number, since it uses less digits than its factorization.

233103323223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39303198 (or 39303195 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233103323223 its reverse (322323301332), we get a palindrome (555426624555).

The spelling of 233103323223 in words is "two hundred thirty-three billion, one hundred three million, three hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 659 1977 5931 39302533 117907599 353722797 25900369247 77701107741 233103323223