Search a number
-
+
212510404015212 = 22356936161860689
BaseRepresentation
bin110000010100011011101111…
…001001000111010001101100
31000212102210111102220121102010
4300110123233021013101230
5210323232301411441322
62031545533141001220
762522240630015442
oct6024335711072154
91025383442817363
10212510404015212
1161792179a28226
121ba01b343b3210
139176850402a44
143a697b64b6b92
151987d3b1a920c
hexc146ef24746c

212510404015212 has 48 divisors (see below), whose sum is σ = 496743377608800. Its totient is φ = 70710270197760.

The previous prime is 212510404015193. The next prime is 212510404015223.

212510404015212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2125104040152123 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212510404015212.

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 15 ways as a sum of consecutive naturals, for example, 246476964 + ... + 247337652.

It is an arithmetic number, because the mean of its divisors is an integer number (10348820366850).

Almost surely, 2212510404015212 is an apocalyptic number.

It is an amenable number.

212510404015212 is an abundant number, since it is smaller than the sum of its proper divisors (284232973593588).

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

212510404015212 is a wasteful number, since it uses less digits than its factorization.

212510404015212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897426 (or 897424 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 21251040 and 4015212, that added together give a palindrome (25266252).

The spelling of 212510404015212 in words is "two hundred twelve trillion, five hundred ten billion, four hundred four million, fifteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 569 1138 1707 2276 3414 6828 36161 72322 108483 144644 216966 433932 860689 1721378 2582067 3442756 5164134 10328268 20575609 41151218 61726827 82302436 123453654 246907308 489732041 979464082 1469196123 1958928164 2938392246 5876784492 31123374929 62246749858 93370124787 124493499716 186740249574 373480499148 17709200334601 35418400669202 53127601003803 70836801338404 106255202007606 212510404015212