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21121123332 = 22310726836131
BaseRepresentation
bin10011101010111010…
…101100010000000100
32000111222010020100010
4103222322230100010
5321224001421312
613411454550220
71345254405021
oct235272542004
960458106303
1021121123332
118a59361631
124115508370
131cb7a4311a
141045162548
158393c593c
hex4eaeac404

21121123332 has 48 divisors (see below), whose sum is σ = 49769862912. Its totient is φ = 6970839840.

The previous prime is 21121123321. The next prime is 21121123337. The reversal of 21121123332 is 23332112112.

It is a super-2 number, since 2×211211233322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21121123299 and 21121123308.

It is not an unprimeable number, because it can be changed into a prime (21121123337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441907 + ... + 3448037.

It is an arithmetic number, because the mean of its divisors is an integer number (1036872144).

Almost surely, 221121123332 is an apocalyptic number.

It is an amenable number.

21121123332 is an abundant number, since it is smaller than the sum of its proper divisors (28648739580).

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

21121123332 is a wasteful number, since it uses less digits than its factorization.

21121123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 21121123332 its reverse (23332112112), we get a palindrome (44453235444).

It can be divided in two parts, 21121 and 123332, that added together give a triangular number (144453 = T537).

The spelling of 21121123332 in words is "twenty-one billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 2683 5366 6131 8049 10732 12262 16098 18393 24524 32196 36786 73572 287081 574162 656017 861243 1148324 1312034 1722486 1968051 2624068 3444972 3936102 7872204 16449473 32898946 49348419 65797892 98696838 197393676 1760093611 3520187222 5280280833 7040374444 10560561666 21121123332