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212112133233 = 371113556312697
BaseRepresentation
bin1100010110001011011…
…1100100110001110001
3202021111110101210201120
43011202313210301301
511433401201230413
6241235403052453
721216223245540
oct3054267446161
9667443353646
10212112133233
1181a57851170
1235137b11129
1317004785010
14a3a296c157
1557b6994723
hex3162de4c71

212112133233 has 64 divisors (see below), whose sum is σ = 379823388672. Its totient is φ = 101685818880.

The previous prime is 212112133171. The next prime is 212112133243. The reversal of 212112133233 is 332331211212.

212112133233 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 212112133233 - 216 = 212112067697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112133243) 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 63 ways as a sum of consecutive naturals, for example, 16699341 + ... + 16712037.

It is an arithmetic number, because the mean of its divisors is an integer number (5934740448).

Almost surely, 2212112133233 is an apocalyptic number.

It is an amenable number.

212112133233 is a deficient number, since it is larger than the sum of its proper divisors (167711255439).

212112133233 is a wasteful number, since it uses less digits than its factorization.

212112133233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18294.

The product of its digits is 1296, while the sum is 24.

Adding to 212112133233 its reverse (332331211212), we get a palindrome (544443344445).

The spelling of 212112133233 in words is "two hundred twelve billion, one hundred twelve million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 5563 12697 16689 38091 38941 61193 72319 88879 116823 139667 165061 183579 216957 266637 419001 428351 495183 506233 795509 977669 1155427 1285053 1518699 1815671 2386527 2933007 3466281 5447013 5568563 12709697 16705689 38129091 70633411 211900233 494433877 776967521 918234343 1483301631 2330902563 2754703029 5438772647 6427640401 10100577773 16316317941 19282921203 30301733319 70704044411 212112133233