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201131013030213 = 3733143777144031
BaseRepresentation
bin101101101110110101110110…
…100101011100000101000101
3222101010221022010011222212210
4231232311312211130011011
5202330312303313431323
61551434151203534033
760236144000412000
oct5556656645340505
9871127263158783
10201131013030213
11590a5202420a22
121a68465538a319
13882c75b27c2b6
143794b15cb6537
15183bd2c571293
hexb6ed7695c145

201131013030213 has 64 divisors (see below), whose sum is σ = 322838164275200. Its totient is φ = 111221210419200.

The previous prime is 201131013030203. The next prime is 201131013030257. The reversal of 201131013030213 is 312030310131102.

It is a happy number.

It is not a de Polignac number, because 201131013030213 - 224 = 201130996252997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201131013030213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131013030203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1396370508 + ... + 1396514538.

It is an arithmetic number, because the mean of its divisors is an integer number (5044346316800).

Almost surely, 2201131013030213 is an apocalyptic number.

It is an amenable number.

201131013030213 is a deficient number, since it is larger than the sum of its proper divisors (121707151244987).

201131013030213 is a wasteful number, since it uses less digits than its factorization.

201131013030213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187863 (or 187849 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 201131013030213 its reverse (312030310131102), we get a palindrome (513161323161315).

The spelling of 201131013030213 in words is "two hundred one trillion, one hundred thirty-one billion, thirteen million, thirty thousand, two hundred thirteen".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1519 4557 10633 31899 43777 131331 144031 306439 432093 919317 1008217 1357087 2145073 3024651 4071261 4464961 6435219 7057519 9499609 13394883 15015511 21172557 28498827 31254727 45046533 49402633 66497263 93764181 148207899 199491789 218783089 465480841 656349267 1396442523 1531481623 4594444869 6305245087 18915735261 44136715609 132410146827 195462597697 308957009263 586387793091 926871027789 1368238183879 2162699064841 4104714551637 6488097194523 9577667287153 28733001861459 67043671010071 201131013030213