Search a number
-
+
232331023000023 = 33172714932301601
BaseRepresentation
bin110100110100110111001000…
…000110001010000111010111
31010110121121222110100101100120
4310310313020012022013113
5220423002413342000043
62142043222025243023
766636235222416603
oct6464671006120727
91113547873311316
10232331023000023
1168034040698582
1222083385633473
139c8394c08712c
144152c4ac24503
151bcd6e2d54983
hexd34dc818a1d7

232331023000023 has 32 divisors (see below), whose sum is σ = 320421886267392. Its totient is φ = 149584482432000.

The previous prime is 232331023000009. The next prime is 232331023000033. The reversal of 232331023000023 is 320000320133232.

It is not a de Polignac number, because 232331023000023 - 225 = 232330989445591 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232331022999957 and 232331023000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232331023000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99792423 + ... + 102094023.

It is an arithmetic number, because the mean of its divisors is an integer number (10013183945856).

Almost surely, 2232331023000023 is an apocalyptic number.

232331023000023 is a deficient number, since it is larger than the sum of its proper divisors (88090863267369).

232331023000023 is a wasteful number, since it uses less digits than its factorization.

232331023000023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303855.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 232331023000023 its reverse (320000320133232), we get a palindrome (552331343133255).

The spelling of 232331023000023 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, twenty-three million, twenty-three", and thus it is an aban number.

Divisors: 1 3 31 93 727 1493 2181 4479 22537 46283 67611 138849 1085411 2301601 3256233 6904803 33647741 71349631 100943223 214048893 1673263927 3436290293 5019791781 10308870879 51871181737 106524999083 155613545211 319574997249 2498183043011 7494549129033 77443674333341 232331023000023