Search a number
-
+
212220102220101 = 3283941301909163
BaseRepresentation
bin110000010000001101010111…
…110011101001100101000101
31000211102001011210212102201200
4300100031113303221211011
5210304003232132020401
62031204322530013113
762462252653330653
oct6020152763514505
91024361153772650
10212220102220101
1161690049155898
121b975816a17199
1391553678b5711
143a597173b7dd3
1519804ea142686
hexc10357ce9945

212220102220101 has 24 divisors (see below), whose sum is σ = 310563088276896. Its totient is φ = 139626949241760.

The previous prime is 212220102220079. The next prime is 212220102220177. The reversal of 212220102220101 is 101022201022212.

It is a happy number.

212220102220101 is a `hidden beast` number, since 21 + 2 + 220 + 102 + 220 + 101 = 666.

It is not a de Polignac number, because 212220102220101 - 25 = 212220102220069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212220102620101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150251655 + ... + 151657508.

It is an arithmetic number, because the mean of its divisors is an integer number (12940128678204).

Almost surely, 2212220102220101 is an apocalyptic number.

It is an amenable number.

212220102220101 is a deficient number, since it is larger than the sum of its proper divisors (98342986056795).

212220102220101 is a wasteful number, since it uses less digits than its factorization.

212220102220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301910193 (or 301910190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220102220101 its reverse (101022201022212), we get a palindrome (313242303242313).

The spelling of 212220102220101 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 83 249 747 941 2823 8469 78103 234309 702927 301909163 905727489 2717182467 25058460529 75175381587 225526144761 284096522383 852289567149 2556868701447 23580011357789 70740034073367 212220102220101