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243312445131 = 3797769155327
BaseRepresentation
bin1110001010011010001…
…1010100011011001011
3212021000212021212110220
43202212203110123023
512441300441221011
6303435354041123
723402336442150
oct3424643243313
9767025255426
10243312445131
11942085942a8
123b1a4a191a3
1319c37720532
14bac2588227
1564e0b6b506
hex38a68d46cb

243312445131 has 32 divisors (see below), whose sum is σ = 375073628160. Its totient is φ = 137422503936.

The previous prime is 243312445111. The next prime is 243312445163. The reversal of 243312445131 is 131544213342.

243312445131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243312445131 - 29 = 243312444619 is a prime.

It is a super-2 number, since 2×2433124451312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243312445092 and 243312445101.

It is not an unprimeable number, because it can be changed into a prime (243312445111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488790 + ... + 1644116.

It is an arithmetic number, because the mean of its divisors is an integer number (11721050880).

Almost surely, 2243312445131 is an apocalyptic number.

243312445131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

243312445131 is a deficient number, since it is larger than the sum of its proper divisors (131761183029).

243312445131 is a wasteful number, since it uses less digits than its factorization.

243312445131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156203.

The product of its digits is 34560, while the sum is 33.

Adding to 243312445131 its reverse (131544213342), we get a palindrome (374856658473).

The spelling of 243312445131 in words is "two hundred forty-three billion, three hundred twelve million, four hundred forty-five thousand, one hundred thirty-one".

Divisors: 1 3 7 21 97 291 679 769 2037 2307 5383 16149 74593 155327 223779 465981 522151 1087289 1566453 3261867 15066719 45200157 105467033 119446463 316401099 358339389 836125241 2508375723 11586306911 34758920733 81104148377 243312445131