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21102330304 = 261123477853
BaseRepresentation
bin10011101001110011…
…000000000111000000
32000110122202110011001
4103221303000013000
5321204144032204
613405544101344
71344635563606
oct235163000700
960418673131
1021102330304
118a49796100
12410b164854
131cb3b931a3
14104286d876
158379124a4
hex4e9cc01c0

21102330304 has 84 divisors (see below), whose sum is σ = 46166346072. Its totient is φ = 9563107840.

The previous prime is 21102330257. The next prime is 21102330311. The reversal of 21102330304 is 40303320112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2683242 + ... + 2691094.

It is an arithmetic number, because the mean of its divisors is an integer number (549599358).

Almost surely, 221102330304 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 21102330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083173036).

21102330304 is an abundant number, since it is smaller than the sum of its proper divisors (25064015768).

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

21102330304 is a wasteful number, since it uses less digits than its factorization.

21102330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21102330304 its reverse (40303320112), we get a palindrome (61405650416).

The spelling of 21102330304 in words is "twenty-one billion, one hundred two million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 347 352 484 694 704 968 1388 1936 2776 3817 3872 5552 7634 7744 7853 11104 15268 15706 22208 30536 31412 41987 61072 62824 83974 86383 122144 125648 167948 172766 244288 251296 335896 345532 502592 671792 691064 950213 1343584 1382128 1900426 2687168 2724991 2764256 3800852 5449982 5528512 7601704 10899964 15203408 21799928 29974901 30406816 43599856 59949802 60813632 87199712 119899604 174399424 239799208 329723911 479598416 659447822 959196832 1318895644 1918393664 2637791288 5275582576 10551165152 21102330304