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211312133301 = 31663238117789
BaseRepresentation
bin1100010011001100101…
…1110100010010110101
3202012102201001121010110
43010303023310102311
511430231401231201
6241024144213233
721160340332323
oct3046313642265
9665381047113
10211312133301
11816872103a5
1234b5400a219
1316c07b02189
14a328602d13
15576b61c6d6
hex31332f44b5

211312133301 has 16 divisors (see below), whose sum is σ = 282053191680. Its totient is φ = 140723002560.

The previous prime is 211312133287. The next prime is 211312133303. The reversal of 211312133301 is 103331213112.

It is a happy number.

211312133301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211312133301 - 210 = 211312132277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312133303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11869915 + ... + 11887703.

It is an arithmetic number, because the mean of its divisors is an integer number (17628324480).

Almost surely, 2211312133301 is an apocalyptic number.

It is an amenable number.

211312133301 is a deficient number, since it is larger than the sum of its proper divisors (70741058379).

211312133301 is a wasteful number, since it uses less digits than its factorization.

211312133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21836.

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

Adding to 211312133301 its reverse (103331213112), we get a palindrome (314643346413).

The spelling of 211312133301 in words is "two hundred eleven billion, three hundred twelve million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 1663 2381 4989 7143 17789 53367 3959603 11878809 29583107 42355609 88749321 127066827 70437377767 211312133301