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212013310312233 = 3338343188753629
BaseRepresentation
bin110000001101001100110010…
…000011000111111100101001
31000210200021102010102002012000
4300031030302003013330221
5210242111224414442413
62030525323053441213
762441312321164203
oct6015146203077451
91023607363362160
10212013310312233
116161038154a7a1
121b9417247a0209
13913ba0041bc61
143a4d6db267773
151979e457ab073
hexc0d3320c7f29

212013310312233 has 64 divisors (see below), whose sum is σ = 316006288588800. Its totient is φ = 140484899845440.

The previous prime is 212013310312207. The next prime is 212013310312253. The reversal of 212013310312233 is 332213013310212.

212013310312233 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 3 + 310 + 312 + 2 + 33 = 666.

It is not a de Polignac number, because 212013310312233 - 213 = 212013310304041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212013310312197 and 212013310312206.

It is not an unprimeable number, because it can be changed into a prime (212013310312253) 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, 3953306463 + ... + 3953360091.

It is an arithmetic number, because the mean of its divisors is an integer number (4937598259200).

Almost surely, 2212013310312233 is an apocalyptic number.

It is an amenable number.

212013310312233 is a deficient number, since it is larger than the sum of its proper divisors (103992978276567).

212013310312233 is a wasteful number, since it uses less digits than its factorization.

212013310312233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55339 (or 55333 counting only the distinct ones).

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

Adding to 212013310312233 its reverse (332213013310212), we get a palindrome (544226323622445).

The spelling of 212013310312233 in words is "two hundred twelve trillion, thirteen billion, three hundred ten million, three hundred twelve thousand, two hundred thirty-three".

Divisors: 1 3 9 27 383 431 887 1149 1293 2661 3447 3879 7983 10341 11637 23949 53629 160887 165073 339721 382297 482661 495219 1019163 1146891 1447983 1485657 3057489 3440673 4456971 9172467 10322019 20539907 23114099 47568923 61619721 69342297 142706769 146419751 184859163 208026891 428120307 439259253 554577489 624080673 1284360921 1317777759 3953333277 8852699917 18218897509 20502205813 26558099751 54656692527 61506617439 79674299253 163970077581 184519852317 239022897759 491910232743 553559556951 7852344826379 23557034479137 70671103437411 212013310312233