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21332300024 = 237738576089
BaseRepresentation
bin10011110111100000…
…010001000011111000
32001001200111010022002
4103313200101003320
5322142032100044
613444441120132
71353430362350
oct236740210370
961050433262
1021332300024
119057588822
124174189048
13201c711749
141065213b60
1584cbdb74e
hex4f78110f8

21332300024 has 64 divisors (see below), whose sum is σ = 46399953600. Its totient is φ = 9005174784.

The previous prime is 21332299999. The next prime is 21332300053. The reversal of 21332300024 is 42000323312.

It is a junction number, because it is equal to n+sod(n) for n = 21332299969 and 21332300005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3500372 + ... + 3506460.

It is an arithmetic number, because the mean of its divisors is an integer number (724999275).

Almost surely, 221332300024 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 21332300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199976800).

21332300024 is an abundant number, since it is smaller than the sum of its proper divisors (25067653576).

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

21332300024 is a wasteful number, since it uses less digits than its factorization.

21332300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 21332300024 its reverse (42000323312), we get a palindrome (63332623336).

The spelling of 21332300024 in words is "twenty-one billion, three hundred thirty-two million, three hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 857 1022 1714 2044 3428 4088 5999 6089 6856 11998 12178 23996 24356 42623 47992 48712 62561 85246 125122 170492 250244 340984 437927 444497 500488 875854 888994 1751708 1777988 3111479 3503416 3555976 5218273 6222958 10436546 12445916 20873092 24891832 36527911 41746184 73055822 146111644 292223288 380933929 761867858 1523735716 2666537503 3047471432 5333075006 10666150012 21332300024