Search a number
-
+
332331012031023 = 361987229427501
BaseRepresentation
bin100101110010000001101011…
…1111010111000001000101111
31121120200112102122000122000000
41023210003113322320020233
5322024402403034443043
63134450432001035343
7130000060166415435
oct11344032772701057
91546615378018000
10332331012031023
1196988877492565
1231333b87625b53
13113588abb5c435
145c0cc9a3bcd55
152864a5b6a92d3
hex12e40d7eb822f

332331012031023 has 28 divisors (see below), whose sum is σ = 498519348255768. Its totient is φ = 221442505290000.

The previous prime is 332331012031019. The next prime is 332331012031043. The reversal of 332331012031023 is 320130210133233.

332331012031023 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 310 + 12 + 0 + 310 + 23 = 666.

It is not a de Polignac number, because 332331012031023 - 22 = 332331012031019 is a prime.

It is a super-2 number, since 2×3323310120310232 (a number of 30 digits) contains 22 as substring.

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 (332331012031043) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113265228 + ... + 116162273.

It is an arithmetic number, because the mean of its divisors is an integer number (17804262437706).

Almost surely, 2332331012031023 is an apocalyptic number.

332331012031023 is a deficient number, since it is larger than the sum of its proper divisors (166188336224745).

332331012031023 is an equidigital number, since it uses as much as digits as its factorization.

332331012031023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229429506 (or 229429491 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332331012031023 its reverse (320130210133233), we get a palindrome (652461222164256).

The spelling of 332331012031023 in words is "three hundred thirty-two trillion, three hundred thirty-one billion, twelve million, thirty-one thousand, twenty-three".

Divisors: 1 3 9 27 81 243 729 1987 5961 17883 53649 160947 482841 1448523 229427501 688282503 2064847509 6194542527 18583627581 55750882743 167252648229 455872444487 1367617333461 4102852000383 12308556001149 36925668003447 110777004010341 332331012031023