Search a number
-
+
21221021112 = 2331926140153
BaseRepresentation
bin10011110000110111…
…110001010110111000
32000202221002120022220
4103300313301112320
5321430040133422
613425424044040
71350606463134
oct236067612670
960687076286
1021221021112
118aaa793285
124142a63620
13200264c235
1410545283c4
15843059e5c
hex4f0df15b8

21221021112 has 96 divisors (see below), whose sum is σ = 56911067280. Its totient is φ = 6591352320.

The previous prime is 21221021021. The next prime is 21221021113. The reversal of 21221021112 is 21112012212.

It is a junction number, because it is equal to n+sod(n) for n = 21221021091 and 21221021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221021113) 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 23 ways as a sum of consecutive naturals, for example, 508428 + ... + 548580.

Almost surely, 221221021112 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 21221021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28455533640).

21221021112 is an abundant number, since it is smaller than the sum of its proper divisors (35690046168).

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

21221021112 is a wasteful number, since it uses less digits than its factorization.

21221021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40261 (or 40238 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221021112 its reverse (21112012212), we get a palindrome (42333033324).

The spelling of 21221021112 in words is "twenty-one billion, two hundred twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 361 366 456 488 722 732 1083 1159 1444 1464 2166 2318 2888 3477 4332 4636 6954 8664 9272 13908 22021 27816 40153 44042 66063 80306 88084 120459 132126 160612 176168 240918 264252 321224 481836 528504 762907 963672 1525814 2288721 2449333 3051628 4577442 4898666 6103256 7347999 9154884 9797332 14495233 14695998 18309768 19594664 28990466 29391996 43485699 46537327 57980932 58783992 86971398 93074654 115961864 139611981 173942796 186149308 279223962 347885592 372298616 558447924 884209213 1116895848 1768418426 2652627639 3536836852 5305255278 7073673704 10610510556 21221021112