Search a number
-
+
21233221213311 = 3337471637276251
BaseRepresentation
bin1001101001111101111101…
…00110111001110001111111
32210011212122200202002222000
410310332332212321301333
510240341114112311221
6113054223540353343
74321023005255142
oct464767646716177
983155580662860
1021233221213311
116846a5a90a418
12246b1829a5853
13bb039041bac3
1453599c93c059
1526c4d1388e26
hex134fbe9b9c7f

21233221213311 has 64 divisors (see below), whose sum is σ = 33014456616960. Its totient is φ = 13471576560000.

The previous prime is 21233221213279. The next prime is 21233221213319. The reversal of 21233221213311 is 11331212233212.

21233221213311 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 322 + 1 + 2 + 1 + 331 + 1 = 666.

It is not a de Polignac number, because 21233221213311 - 25 = 21233221213279 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233221213319) 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, 76723936 + ... + 77000186.

It is an arithmetic number, because the mean of its divisors is an integer number (515850884640).

Almost surely, 221233221213311 is an apocalyptic number.

21233221213311 is a deficient number, since it is larger than the sum of its proper divisors (11781235403649).

21233221213311 is a wasteful number, since it uses less digits than its factorization.

21233221213311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277981 (or 277975 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 21233221213311 its reverse (11331212233212), we get a palindrome (32564433446523).

The spelling of 21233221213311 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 9 27 37 47 111 141 333 423 999 1269 1637 1739 4911 5217 14733 15651 44199 46953 60569 76939 181707 230817 276251 545121 692451 828753 1635363 2077353 2486259 2846743 7458777 8540229 10221287 12983797 25620687 30663861 38951391 76862061 91991583 116854173 275974749 350562519 452222887 480400489 1356668661 1441201467 4070005983 4323604401 12210017949 12970813203 16732246819 21254475689 50196740457 63763427067 150590221371 191290281201 451770664113 573870843603 786415600493 2359246801479 7077740404437 21233221213311