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243131132424 = 23367151200953
BaseRepresentation
bin1110001001101110111…
…1101010101000001000
3212020120020010020012110
43202123233222220020
512440413032214144
6303405355542320
723365005345525
oct3423357525010
9766506106173
10243131132424
1194125205394
123b15415a9a0
1319c08ca9ccb
14baa646c14c
1564ceca40b9
hex389bbeaa08

243131132424 has 32 divisors (see below), whose sum is σ = 616899892320. Its totient is φ = 79834102656.

The previous prime is 243131132381. The next prime is 243131132441. The reversal of 243131132424 is 424231131342.

243131132424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431311324242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 243131132391 and 243131132400.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75598869 + ... + 75602084.

It is an arithmetic number, because the mean of its divisors is an integer number (19278121635).

Almost surely, 2243131132424 is an apocalyptic number.

243131132424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243131132424 is an abundant number, since it is smaller than the sum of its proper divisors (373768759896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243131132424 is a wasteful number, since it uses less digits than its factorization.

243131132424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151201029 (or 151201025 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 243131132424 its reverse (424231131342), we get a palindrome (667362263766).

The spelling of 243131132424 in words is "two hundred forty-three billion, one hundred thirty-one million, one hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 151200953 302401906 453602859 604803812 907205718 1209607624 1814411436 3628822872 10130463851 20260927702 30391391553 40521855404 60782783106 81043710808 121565566212 243131132424