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21332003121 = 32111317974999
BaseRepresentation
bin10011110111011111…
…001000100100110001
32001001122221001000200
4103313133020210301
5322141443044441
613444430505413
71353425014632
oct236737104461
961048831020
1021332003121
1190573a5750
124174065269
13201c639570
141065177889
1584cb7d7b6
hex4f77c8931

21332003121 has 48 divisors (see below), whose sum is σ = 38329200000. Its totient is φ = 11231976960.

The previous prime is 21332003117. The next prime is 21332003141. The reversal of 21332003121 is 12130023312.

21332003121 is a `hidden beast` number, since 21 + 332 + 0 + 0 + 312 + 1 = 666.

It is not a de Polignac number, because 21332003121 - 22 = 21332003117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21332003094 and 21332003103.

It is not an unprimeable number, because it can be changed into a prime (21332003111) 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 47 ways as a sum of consecutive naturals, for example, 465621 + ... + 509378.

It is an arithmetic number, because the mean of its divisors is an integer number (798525000).

Almost surely, 221332003121 is an apocalyptic number.

It is an amenable number.

21332003121 is a deficient number, since it is larger than the sum of its proper divisors (16997196879).

21332003121 is a wasteful number, since it uses less digits than its factorization.

21332003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975046 (or 975043 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21332003121 its reverse (12130023312), we get a palindrome (33462026433).

The spelling of 21332003121 in words is "twenty-one billion, three hundred thirty-two million, three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 21879 974999 2924997 8774991 10724989 12674987 16574983 32174967 38024961 49724949 96524901 114074883 139424857 149174847 182324813 215474779 418274571 546974439 646424337 1254823713 1640923317 1939273011 2370222569 7110667707 21332003121