Search a number
-
+
212813381 = 1137522883
BaseRepresentation
bin11001010111101…
…00011001000101
3112211110001002002
430223310121011
5413440012011
633041155045
75162612114
oct1453643105
9484401062
10212813381
11aa144930
125b32ba85
13351225a1
1420399c7b
1513a3ac3b
hexcaf4645

212813381 has 8 divisors (see below), whose sum is σ = 238435104. Its totient is φ = 188237520.

The previous prime is 212813351. The next prime is 212813399. The reversal of 212813381 is 183318212.

212813381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212813381 - 26 = 212813317 is a prime.

It is a super-3 number, since 3×2128133813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212813311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261035 + ... + 261848.

It is an arithmetic number, because the mean of its divisors is an integer number (29804388).

Almost surely, 2212813381 is an apocalyptic number.

It is an amenable number.

212813381 is a deficient number, since it is larger than the sum of its proper divisors (25621723).

212813381 is a wasteful number, since it uses less digits than its factorization.

212813381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522931.

The product of its digits is 2304, while the sum is 29.

The square root of 212813381 is about 14588.1246567199. The cubic root of 212813381 is about 597.0347969434.

The spelling of 212813381 in words is "two hundred twelve million, eight hundred thirteen thousand, three hundred eighty-one".

Divisors: 1 11 37 407 522883 5751713 19346671 212813381