Search a number
-
+
231221100120102 = 232431858731607201
BaseRepresentation
bin110100100100101101011011…
…100010011000100000100110
31010022200112002000122002100200
4310210231123202120200212
5220301311303112320402
62135433301302051330
766463113260540151
oct6444553342304046
91108615060562320
10231221100120102
1167746355106a84
1221b24246719b46
139c03096583ca1
144115237950c98
151bae8d117b21c
hexd24b5b898826

231221100120102 has 48 divisors (see below), whose sum is σ = 512632802764368. Its totient is φ = 75280836556800.

The previous prime is 231221100120047. The next prime is 231221100120103. The reversal of 231221100120102 is 201021001122132.

231221100120102 is a `hidden beast` number, since 231 + 2 + 211 + 0 + 0 + 120 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231221100120103) 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, 143062102 + ... + 144669302.

It is an arithmetic number, because the mean of its divisors is an integer number (10679850057591).

Almost surely, 2231221100120102 is an apocalyptic number.

231221100120102 is an abundant number, since it is smaller than the sum of its proper divisors (281411702644266).

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

231221100120102 is a wasteful number, since it uses less digits than its factorization.

231221100120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793125 (or 1793122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 231221100120102 its reverse (201021001122132), we get a palindrome (432242101242234).

The spelling of 231221100120102 in words is "two hundred thirty-one trillion, two hundred twenty-one billion, one hundred million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 185873 371746 557619 1115238 1607201 1672857 3214402 3345714 4821603 7992539 9643206 14464809 15985078 23977617 28929618 47955234 69109643 71932851 138219286 143865702 207328929 414657858 621986787 1243973574 298735271473 597470542946 896205814419 1792411628838 2688617443257 5377234886514 12845616673339 25691233346678 38536850020017 77073700040034 115610550060051 231221100120102