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21211233012 = 223229109186397
BaseRepresentation
bin10011110000010010…
…011011101011110100
32000202020200021120200
4103300102123223310
5321420033424022
613424434200500
71350430335324
oct236022335364
960666607520
1021211233012
118aa5208342
12413b723130
132000602c68
1410530db284
15842274bac
hex4f049baf4

21211233012 has 72 divisors (see below), whose sum is σ = 55975319400. Its totient is φ = 6763938048.

The previous prime is 21211233011. The next prime is 21211233023. The reversal of 21211233012 is 21033211212.

21211233012 is a `hidden beast` number, since 212 + 112 + 330 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2355549156 + 18855683856 = 48534^2 + 137316^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211233011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20598 + ... + 206994.

Almost surely, 221211233012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27987659700).

21211233012 is an abundant number, since it is smaller than the sum of its proper divisors (34764086388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211233012 is a wasteful number, since it uses less digits than its factorization.

21211233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186545 (or 186540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21211233012 its reverse (21033211212), we get a palindrome (42244444224).

The spelling of 21211233012 in words is "twenty-one billion, two hundred eleven million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 109 116 174 218 261 327 348 436 522 654 981 1044 1308 1962 3161 3924 6322 9483 12644 18966 28449 37932 56898 113796 186397 372794 559191 745588 1118382 1677573 2236764 3355146 5405513 6710292 10811026 16216539 20317273 21622052 32433078 40634546 48649617 60951819 64866156 81269092 97299234 121903638 182855457 194598468 243807276 365710914 589200917 731421828 1178401834 1767602751 2356803668 3535205502 5302808253 7070411004 10605616506 21211233012