Search a number
-
+
213141023232024 = 23323404995363063
BaseRepresentation
bin110000011101100111000010…
…111110100001000000011000
31000221200002020101020001001110
4300131213002332201000120
5210414100303421411044
62033151345003220320
762615634151636236
oct6035470276410030
91027602211201043
10213141023232024
1161a05667048588
121baa41a95176a0
1391c115c7bba04
143a8c11b111956
1519994491b76b9
hexc1d9c2fa1018

213141023232024 has 64 divisors (see below), whose sum is σ = 556157389248000. Its totient is φ = 67941222795776.

The previous prime is 213141023231999. The next prime is 213141023232037. The reversal of 213141023232024 is 420232320141312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213141023231982 and 213141023232000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45446484 + ... + 49916579.

It is an arithmetic number, because the mean of its divisors is an integer number (8689959207000).

Almost surely, 2213141023232024 is an apocalyptic number.

213141023232024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213141023232024 is an abundant number, since it is smaller than the sum of its proper divisors (343016366015976).

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

213141023232024 is a wasteful number, since it uses less digits than its factorization.

213141023232024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95367144 (or 95367140 counting only the distinct ones).

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

Adding to 213141023232024 its reverse (420232320141312), we get a palindrome (633373343373336).

The spelling of 213141023232024 in words is "two hundred thirteen trillion, one hundred forty-one billion, twenty-three million, two hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 4049 8098 12147 16196 24294 32392 48588 93127 97176 186254 279381 372508 558762 745016 1117524 2235048 95363063 190726126 286089189 381452252 572178378 762904504 1144356756 2193350449 2288713512 4386700898 6580051347 8773401796 13160102694 17546803592 26320205388 52640410776 386125042087 772250084174 1158375126261 1544500168348 2316750252522 3089000336696 4633500505044 8880875968001 9267001010088 17761751936002 26642627904003 35523503872004 53285255808006 71047007744008 106570511616012 213141023232024