Search a number
-
+
93322100122339 = 11103420119606583
BaseRepresentation
bin10101001110000000111110…
…101000001010001011100011
3110020102111122121120010011011
4111032000332220022023203
544212442130112403324
6530251325252401351
725441204431555064
oct2516007650121343
9406374577503134
1093322100122339
112780a753687150
12a572546616257
13400c30c1555aa
141908b56cc256b
15abc7c6a88c94
hex54e03ea0a2e3

93322100122339 has 16 divisors (see below), whose sum is σ = 102818808728064. Its totient is φ = 83994597288000.

The previous prime is 93322100122283. The next prime is 93322100122351.

93322100122339 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 93322100122339 - 29 = 93322100121827 is a prime.

It is a super-3 number, since 3×933221001223393 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (93322100122369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5043559 + ... + 14563024.

It is an arithmetic number, because the mean of its divisors is an integer number (6426175545504).

Almost surely, 293322100122339 is an apocalyptic number.

93322100122339 is a deficient number, since it is larger than the sum of its proper divisors (9496708605725).

93322100122339 is a wasteful number, since it uses less digits than its factorization.

93322100122339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19610898.

The product of its (nonzero) digits is 104976, while the sum is 40.

It can be divided in two parts, 93322100 and 122339, that added together give a palindrome (93444439).

The spelling of 93322100122339 in words is "ninety-three trillion, three hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, three hundred thirty-nine".

Divisors: 1 11 103 1133 4201 46211 432703 4759733 19606583 215672413 2019478049 22214258539 82367255183 906039807013 8483827283849 93322100122339