Search a number
-
+
231131123103303 = 3323383971780221
BaseRepresentation
bin110100100011011001101000…
…011111010011011001000111
31010022100220211101000001021000
4310203121220133103121013
5220243323020003301203
62135324101102224343
766453446460526053
oct6443315037233107
91108326741001230
10231131123103303
1167711182463575
1221b0a9155850b3
139bc775744ac47
144110b3db16c63
151bac3b6d3e4a3
hexd236687d3647

231131123103303 has 32 divisors (see below), whose sum is σ = 358237061038080. Its totient is φ = 147003137439840.

The previous prime is 231131123103299. The next prime is 231131123103311. The reversal of 231131123103303 is 303301321131132.

231131123103303 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 1 + 12 + 310 + 330 + 3 = 666.

It is not a de Polignac number, because 231131123103303 - 22 = 231131123103299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231131123103323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485652268 + ... + 486127953.

It is an arithmetic number, because the mean of its divisors is an integer number (11194908157440).

Almost surely, 2231131123103303 is an apocalyptic number.

231131123103303 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

231131123103303 is a deficient number, since it is larger than the sum of its proper divisors (127105937934777).

231131123103303 is a wasteful number, since it uses less digits than its factorization.

231131123103303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971780636 (or 971780630 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 231131123103303 its reverse (303301321131132), we get a palindrome (534432444234435).

The spelling of 231131123103303 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty-three million, one hundred three thousand, three hundred three".

Divisors: 1 3 9 23 27 69 207 383 621 1149 3447 8809 10341 26427 79281 237843 971780221 2915340663 8746021989 22350945083 26238065967 67052835249 201158505747 372191824643 603475517241 1116575473929 3349726421787 8560411966789 10049179265361 25681235900367 77043707701101 231131123103303