Search a number
-
+
201130123211232 = 2534095122507213
BaseRepresentation
bin101101101110110101000001…
…100011000011000111100000
3222101010212000002211111201020
4231232311001203003013200
5202330303443020224412
61551433523020005440
760236112644155365
oct5556650143030740
9871125002744636
10201130123211232
11590a4896112836
121a684447390880
13882c648b0b9a7
143794a6da4a46c
15183bcc93a618c
hexb6ed418c31e0

201130123211232 has 48 divisors (see below), whose sum is σ = 529257445350480. Its totient is φ = 66879454159872.

The previous prime is 201130123211203. The next prime is 201130123211233. The reversal of 201130123211232 is 232112321031102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130123211233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2561214343 + ... + 2561292870.

It is an arithmetic number, because the mean of its divisors is an integer number (11026196778135).

Almost surely, 2201130123211232 is an apocalyptic number.

It is an amenable number.

201130123211232 is an abundant number, since it is smaller than the sum of its proper divisors (328127322139248).

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

201130123211232 is a wasteful number, since it uses less digits than its factorization.

201130123211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122507635 (or 5122507627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 201130123211232 its reverse (232112321031102), we get a palindrome (433242444242334).

The spelling of 201130123211232 in words is "two hundred one trillion, one hundred thirty billion, one hundred twenty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 39264 5122507213 10245014426 15367521639 20490028852 30735043278 40980057704 61470086556 81960115408 122940173112 163920230816 245880346224 491760692448 2095105450117 4190210900234 6285316350351 8380421800468 12570632700702 16760843600936 25141265401404 33521687201872 50282530802808 67043374403744 100565061605616 201130123211232