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213223232222133 = 37191619553115527
BaseRepresentation
bin110000011110110011100111…
…000000111011001110110101
31000221221221102122221102210220
4300132303213000323032311
5210421422134422102013
62033253222311204553
762624604315552240
oct6036634700731665
91027857378842726
10213223232222133
1161a37512964621
121bab8111076759
1391c8b31482163
143a920b93c8257
15199b65b57bb23
hexc1ece703b3b5

213223232222133 has 64 divisors (see below), whose sum is σ = 327220565114880. Its totient is φ = 120978455371200.

The previous prime is 213223232222107. The next prime is 213223232222219. The reversal of 213223232222133 is 331222232322312.

It is a happy number.

It is not a de Polignac number, because 213223232222133 - 29 = 213223232221621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213223232222094 and 213223232222103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223232222933) 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, 13732408816 + ... + 13732424342.

It is an arithmetic number, because the mean of its divisors is an integer number (5112821329920).

Almost surely, 2213223232222133 is an apocalyptic number.

It is an amenable number.

213223232222133 is a deficient number, since it is larger than the sum of its proper divisors (113997332892747).

213223232222133 is a wasteful number, since it uses less digits than its factorization.

213223232222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21878.

The product of its digits is 62208, while the sum is 33.

Adding to 213223232222133 its reverse (331222232322312), we get a palindrome (544445464544445).

The spelling of 213223232222133 in words is "two hundred thirteen trillion, two hundred twenty-three billion, two hundred thirty-two million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 191 573 619 1337 1857 4011 4333 5531 12999 15527 16593 38717 46581 108689 116151 118229 326067 354687 827603 1056421 2482809 2965657 3169263 3423689 7394947 8896971 9611213 10271067 20759599 22184841 23965823 28833639 62278797 67278491 71897469 85879837 201835473 257639511 601158859 653924599 1803476577 1835741683 1961773797 4577472193 5507225049 12850191781 13732416579 16403048867 38550575343 49209146601 53159619103 114821342069 159478857309 344464026207 372117333721 1116352001163 10153487248673 30460461746019 71074410740711 213223232222133