Search a number
-
+
210220302130101 = 326710126687129341
BaseRepresentation
bin101111110011000110111010…
…011011101101101110110101
31000120022212100022012001201200
4233303012322123231232311
5210023222134321130401
62023033512405443113
762164626026123604
oct5763067233555665
91016285308161650
10210220302130101
1160a89a2513638a
121b6b2129a10499
13903b8c68a66b3
1439caa072c5a3b
1519484a49a2686
hexbf31ba6edbb5

210220302130101 has 48 divisors (see below), whose sum is σ = 311249052361728. Its totient is φ = 136682062704000.

The previous prime is 210220302130073. The next prime is 210220302130129. The reversal of 210220302130101 is 101031203022012.

210220302130101 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 302 + 130 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (210220302130073) and next prime (210220302130129).

It is not a de Polignac number, because 210220302130101 - 29 = 210220302129589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210220302130171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625253691 + ... + 1625383031.

It is an arithmetic number, because the mean of its divisors is an integer number (6484355257536).

Almost surely, 2210220302130101 is an apocalyptic number.

It is an amenable number.

210220302130101 is a deficient number, since it is larger than the sum of its proper divisors (101028750231627).

210220302130101 is a wasteful number, since it uses less digits than its factorization.

210220302130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156202 (or 156199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210220302130101 its reverse (101031203022012), we get a palindrome (311251505152113).

The spelling of 210220302130101 in words is "two hundred ten trillion, two hundred twenty billion, three hundred two million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 9 67 101 201 303 603 909 6767 20301 26687 60903 80061 129341 240183 388023 1164069 1788029 2695387 5364087 8086161 8665847 13063441 16092261 24258483 25997541 39190323 77992623 117570969 180590929 541772787 875250547 1625318361 2625751641 3451723267 7877254923 10355169801 31065509403 231265458889 348624049967 693796376667 1045872149901 2081389130001 3137616449703 23357811347789 70073434043367 210220302130101