Search a number
-
+
212101212 = 2231011391259
BaseRepresentation
bin11001010010001…
…10100001011100
3112210002212011110
430221012201130
5413244214322
633014022020
75153554611
oct1451064134
9483085143
10212101212
11a97a8864
125b047910
1334c3339b
1420252508
1513949c0c
hexca4685c

212101212 has 48 divisors (see below), whose sum is σ = 503798400. Its totient is φ = 69441600.

The previous prime is 212101207. The next prime is 212101223.

212101212 is nontrivially palindromic in base 10.

212101212 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

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, 167839 + ... + 169097.

It is an arithmetic number, because the mean of its divisors is an integer number (10495800).

Almost surely, 2212101212 is an apocalyptic number.

It is an amenable number.

212101212 is an abundant number, since it is smaller than the sum of its proper divisors (291697188).

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

212101212 is a wasteful number, since it uses less digits than its factorization.

212101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212101212 is about 14563.6949981795. The cubic root of 212101212 is about 596.3680706191.

It can be divided in two parts, 21210 and 1212, that added together give a palindrome (22422).

The spelling of 212101212 in words is "two hundred twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 101 139 202 278 303 404 417 556 606 834 1212 1259 1668 2518 3777 5036 7554 14039 15108 28078 42117 56156 84234 127159 168468 175001 254318 350002 381477 508636 525003 700004 762954 1050006 1525908 2100012 17675101 35350202 53025303 70700404 106050606 212101212