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21115003221 = 32131719558731
BaseRepresentation
bin10011101010100011…
…010110000101010101
32000111112121022010100
4103222203112011111
5321220420100341
613411115444313
71345151365104
oct235243260525
960445538110
1021115003221
118a55961494
124113456699
131cb66ac560
14104440c03b
15838ab73b6
hex4ea8d6155

21115003221 has 48 divisors (see below), whose sum is σ = 36608120640. Its totient is φ = 11585825280.

The previous prime is 21115003213. The next prime is 21115003229. The reversal of 21115003221 is 12230051112.

21115003221 is a `hidden beast` number, since 2 + 111 + 500 + 32 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (21115003213) and next prime (21115003229).

It is not a de Polignac number, because 21115003221 - 23 = 21115003213 is a prime.

It is a super-2 number, since 2×211150032212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21115003194 and 21115003203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21115003229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241575 + ... + 317156.

It is an arithmetic number, because the mean of its divisors is an integer number (762669180).

Almost surely, 221115003221 is an apocalyptic number.

It is an amenable number.

21115003221 is a deficient number, since it is larger than the sum of its proper divisors (15493117419).

21115003221 is a wasteful number, since it uses less digits than its factorization.

21115003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558786 (or 558783 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 21115003221 its reverse (12230051112), we get a palindrome (33345054333).

The spelling of 21115003221 in words is "twenty-one billion, one hundred fifteen million, three thousand, two hundred twenty-one".

Divisors: 1 3 9 13 17 19 39 51 57 117 153 171 221 247 323 663 741 969 1989 2223 2907 4199 12597 37791 558731 1676193 5028579 7263503 9498427 10615889 21790509 28495281 31847667 65371527 85485843 95543001 123479551 138006557 180470113 370438653 414019671 541410339 1111315959 1242059013 1624231017 2346111469 7038334407 21115003221