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210101133233232 = 243211749731241761
BaseRepresentation
bin101111110001010111111011…
…011010011100110001010000
31000112220110202012212212101200
4233301113323122130301100
5210014244110101430412
62022503043402431200
762153206641166443
oct5761277332346120
91015813665785350
10210101133233232
1160a4343242635a
121b693010502500
1390305b4942337
1439c4d404c365a
15194532c9699dc
hexbf15fb69cc50

210101133233232 has 60 divisors (see below), whose sum is σ = 587992339867764. Its totient is φ = 70033595074560.

The previous prime is 210101133233231. The next prime is 210101133233249. The reversal of 210101133233232 is 232332331101012.

210101133233232 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 1 + 1 + 332 + 3 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124559795924496 + 85541337308736 = 11160636^2 + 9248856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210101133233196 and 210101133233205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101133233231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168575232 + ... + 169816992.

Almost surely, 2210101133233232 is an apocalyptic number.

It is an amenable number.

210101133233232 is an abundant number, since it is smaller than the sum of its proper divisors (377891206634532).

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

210101133233232 is a wasteful number, since it uses less digits than its factorization.

210101133233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416748 (or 2416739 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 210101133233232 its reverse (232332331101012), we get a palindrome (442433464334244).

The spelling of 210101133233232 in words is "two hundred ten trillion, one hundred one billion, one hundred thirty-three million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1174973 1241761 2349946 2483522 3524919 3725283 4699892 4967044 7049838 7450566 9399784 9934088 10574757 11175849 14099676 14901132 18799568 19868176 21149514 22351698 28199352 29802264 42299028 44703396 56398704 59604528 84598056 89406792 169196112 178813584 1459035647453 2918071294906 4377106942359 5836142589812 8754213884718 11672285179624 13131320827077 17508427769436 23344570359248 26262641654154 35016855538872 52525283308308 70033711077744 105050566616616 210101133233232