Search a number
-
+
103122333231 = 3379773117331
BaseRepresentation
bin110000000001010010…
…0011110111000101111
3100212011202212022020020
41200002210132320233
53142143304130411
6115212421253223
710310316240561
oct1400244367057
9325152768206
10103122333231
113a808961295
1217b9b564213
139955656bb8
144dc39cd331
152a383e5606
hex180291ee2f

103122333231 has 16 divisors (see below), whose sum is σ = 138038751360. Its totient is φ = 68477542560.

The previous prime is 103122333229. The next prime is 103122333239. The reversal of 103122333231 is 132333221301.

It is not a de Polignac number, because 103122333231 - 21 = 103122333229 is a prime.

It is a super-2 number, since 2×1031223332312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122333239) 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 15 ways as a sum of consecutive naturals, for example, 820236 + ... + 937566.

It is an arithmetic number, because the mean of its divisors is an integer number (8627421960).

Almost surely, 2103122333231 is an apocalyptic number.

103122333231 is a deficient number, since it is larger than the sum of its proper divisors (34916418129).

103122333231 is a wasteful number, since it uses less digits than its factorization.

103122333231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118486.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103122333231 its reverse (132333221301), we get a palindrome (235455554532).

The spelling of 103122333231 in words is "one hundred three billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 379 773 1137 2319 117331 292967 351993 878901 44468449 90696863 133405347 272090589 34374111077 103122333231