Search a number
-
+
103312201332123 = 32771107215858393
BaseRepresentation
bin10111011111011000111111…
…000011111011010110011011
3111112210112211221110201120200
4113133120333003323112123
5102020131342020111443
61003420545312153243
730522026442011610
oct2737307703732633
9445715757421520
10103312201332123
112aa11505343603
12b70671b238823
1345853b656b9a4
141b724a14b6507
15be25c2961dd3
hex5df63f0fb59b

103312201332123 has 48 divisors (see below), whose sum is σ = 174565546661376. Its totient is φ = 57660093671040.

The previous prime is 103312201332113. The next prime is 103312201332127. The reversal of 103312201332123 is 321233102213301.

103312201332123 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 2 + 201 + 332 + 123 = 666.

It is not a de Polignac number, because 103312201332123 - 26 = 103312201332059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103312201332127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107450586 + ... + 108407807.

It is an arithmetic number, because the mean of its divisors is an integer number (3636782222112).

Almost surely, 2103312201332123 is an apocalyptic number.

103312201332123 is a deficient number, since it is larger than the sum of its proper divisors (71253345329253).

103312201332123 is a wasteful number, since it uses less digits than its factorization.

103312201332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215858584 (or 215858581 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103312201332123 its reverse (321233102213301), we get a palindrome (424545303545424).

The spelling of 103312201332123 in words is "one hundred three trillion, three hundred twelve billion, two hundred one million, three hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 63 71 107 213 321 497 639 749 963 1491 2247 4473 6741 7597 22791 53179 68373 159537 478611 215858393 647575179 1511008751 1942725537 4533026253 13599078759 15325945903 23096848051 45977837709 69290544153 107281621321 137933513127 161677936357 207871632459 321844863963 485033809071 965534591889 1455101427213 1639876211621 4919628634863 11479133481347 14758885904589 34437400444041 103312201332123