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212101012 = 22294574001
BaseRepresentation
bin11001010010001…
…10011110010100
3112210002211220001
430221012132110
5413244213022
633014021044
75153554204
oct1451063624
9483084801
10212101012
11a97a86a2
125b047784
1334c33276
1420252404
1513949b27
hexca46794

212101012 has 24 divisors (see below), whose sum is σ = 384912360. Its totient is φ = 102144000.

The previous prime is 212100961. The next prime is 212101013. The reversal of 212101012 is 210101212.

212101012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

212101012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 20666116 + 191434896 = 4546^2 + 13836^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 212101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51012 + ... + 55012.

It is an arithmetic number, because the mean of its divisors is an integer number (16038015).

Almost surely, 2212101012 is an apocalyptic number.

It is an amenable number.

212101012 is a deficient number, since it is larger than the sum of its proper divisors (172811348).

212101012 is a wasteful number, since it uses less digits than its factorization.

212101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 212101012 is about 14563.6881317886. The cubic root of 212101012 is about 596.3678831714.

Adding to 212101012 its reverse (210101212), we get a palindrome (422202224).

It can be divided in two parts, 21210 and 1012, that added together give a palindrome (22222).

The spelling of 212101012 in words is "two hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 29 58 116 457 914 1828 4001 8002 13253 16004 26506 53012 116029 232058 464116 1828457 3656914 7313828 53025253 106050506 212101012