Search a number
-
+
210100120212 = 22389196722959
BaseRepresentation
bin1100001110101011110…
…0010110101010010100
3202002022020102221201210
43003222330112222110
511420241112321322
6240304010421420
721115322361423
oct3035274265224
9662266387653
10210100120212
1181115049a94
1234876131870
1316a73992a78
14a2516672ba
1556ea00c70c
hex30eaf16a94

210100120212 has 24 divisors (see below), whose sum is σ = 495741859200. Its totient is φ = 69246481216.

The previous prime is 210100120207. The next prime is 210100120213. The reversal of 210100120212 is 212021001012.

210100120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2101001202123 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100120213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98360412 + ... + 98362547.

It is an arithmetic number, because the mean of its divisors is an integer number (20655910800).

Almost surely, 2210100120212 is an apocalyptic number.

It is an amenable number.

210100120212 is an abundant number, since it is smaller than the sum of its proper divisors (285641738988).

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

210100120212 is a wasteful number, since it uses less digits than its factorization.

210100120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196723055 (or 196723053 counting only the distinct ones).

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

Adding to 210100120212 its reverse (212021001012), we get a palindrome (422121121224).

The spelling of 210100120212 in words is "two hundred ten billion, one hundred million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 89 178 267 356 534 1068 196722959 393445918 590168877 786891836 1180337754 2360675508 17508343351 35016686702 52525030053 70033373404 105050060106 210100120212