Search a number
-
+
123312100323 = 34147116318341
BaseRepresentation
bin111001011010111111…
…0010101001111100011
3102210021211110201222210
41302311332111033203
54010020344202243
6132352050133203
711623534362366
oct1626576251743
9383254421883
10123312100323
1148329514115
121ba94b81203
13b822445249
145d7b1920dd
15331ab48933
hex1cb5f953e3

123312100323 has 32 divisors (see below), whose sum is σ = 172167109632. Its totient is φ = 78424774400.

The previous prime is 123312100321. The next prime is 123312100367. The reversal of 123312100323 is 323001213321.

It is a cyclic number.

It is not a de Polignac number, because 123312100323 - 21 = 123312100321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123312100323.

It is not an unprimeable number, because it can be changed into a prime (123312100321) 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, 6714133 + ... + 6732473.

It is an arithmetic number, because the mean of its divisors is an integer number (5380222176).

Almost surely, 2123312100323 is an apocalyptic number.

123312100323 is a deficient number, since it is larger than the sum of its proper divisors (48855009309).

123312100323 is a wasteful number, since it uses less digits than its factorization.

123312100323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19595.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123312100323 its reverse (323001213321), we get a palindrome (446313313644).

The spelling of 123312100323 in words is "one hundred twenty-three billion, three hundred twelve million, one hundred thousand, three hundred twenty-three".

Divisors: 1 3 41 47 123 141 1163 1927 3489 5781 18341 47683 54661 55023 143049 163983 751981 862027 2241101 2255943 2586081 6723303 21330583 35343107 63991749 106029321 874553903 1002537401 2623661709 3007612203 41104033441 123312100323