Base | Representation |
---|---|
bin | 10011110110110101… |
… | …100111110100001000 |
3 | 2001000220110011121100 |
4 | 103312311213310020 |
5 | 322131201333112 |
6 | 13443401341400 |
7 | 1353233352501 |
oct | 236665476410 |
9 | 61026404540 |
10 | 21321121032 |
11 | 9051242892 |
12 | 4170497860 |
13 | 201a2c9363 |
14 | 1063943ba8 |
15 | 84bc2e2dc |
hex | 4f6d67d08 |
21321121032 has 192 divisors, whose sum is σ = 60293376000. Its totient is φ = 6801604992.
The previous prime is 21321121021. The next prime is 21321121043. The reversal of 21321121032 is 23012112312.
21321121032 is a `hidden beast` number, since 213 + 211 + 210 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (21321121021) and next prime (21321121043).
It is a super-2 number, since 2×213211210322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 21321120996 and 21321121014.
It is an unprimeable number.
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, 43780293 + ... + 43780779.
It is an arithmetic number, because the mean of its divisors is an integer number (314028000).
Almost surely, 221321121032 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 21321121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30146688000).
21321121032 is an abundant number, since it is smaller than the sum of its proper divisors (38972254968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21321121032 is a wasteful number, since it uses less digits than its factorization.
21321121032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 800 (or 793 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 21321121032 its reverse (23012112312), we get a palindrome (44333233344).
The spelling of 21321121032 in words is "twenty-one billion, three hundred twenty-one million, one hundred twenty-one thousand, thirty-two".
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