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213131331203024 = 24132113697528837
BaseRepresentation
bin110000011101011110000001…
…010010010110111111010000
31000221122011012220221221201102
4300131132001102112333100
5210413420431241444044
62033143103141323532
762615142034023023
oct6035360122267720
91027564186857642
10213131331203024
1161a01543161763
121baa23437065a8
1391c0276860500
143a8b87bc391ba
15199907d39024e
hexc1d781496fd0

213131331203024 has 60 divisors (see below), whose sum is σ = 451107245169036. Its totient is φ = 97497790580736.

The previous prime is 213131331203009. The next prime is 213131331203033. The reversal of 213131331203024 is 420302133131312.

It can be written as a sum of positive squares in 6 ways, for example, as 53021989824400 + 160109341378624 = 7281620^2 + 12653432^2 .

It is a super-2 number, since 2×2131313312030242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348458867 + ... + 349069970.

Almost surely, 2213131331203024 is an apocalyptic number.

It is an amenable number.

213131331203024 is an abundant number, since it is smaller than the sum of its proper divisors (237975913966012).

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

213131331203024 is a wasteful number, since it uses less digits than its factorization.

213131331203024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697528984 (or 697528965 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 213131331203024 its reverse (420302133131312), we get a palindrome (633433464334336).

The spelling of 213131331203024 in words is "two hundred thirteen trillion, one hundred thirty-one billion, three hundred thirty-one million, two hundred three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 113 169 208 226 338 452 676 904 1352 1469 1808 2704 2938 5876 11752 19097 23504 38194 76388 152776 305552 697528837 1395057674 2790115348 5580230696 9067874881 11160461392 18135749762 36271499524 72542999048 78820758581 117882373453 145085998096 157641517162 235764746906 315283034324 471529493812 630566068648 943058987624 1024669861553 1261132137296 1886117975248 2049339723106 4098679446212 8197358892424 13320708200189 16394717784848 26641416400378 53282832800756 106565665601512 213131331203024