Base | Representation |
---|---|
bin | 10011000010011110… |
… | …10010001001011000 |
3 | 222101100020102020000 |
4 | 21201033102021120 |
5 | 131413130043112 |
6 | 4410130333000 |
7 | 511202610633 |
oct | 114117221130 |
9 | 28340212200 |
10 | 10221331032 |
11 | 4375747320 |
12 | 1b9312a160 |
13 | c6b802993 |
14 | 6cd6d8c1a |
15 | 3ec52c7dc |
hex | 2613d2258 |
10221331032 has 160 divisors (see below), whose sum is σ = 31410244800. Its totient is φ = 3079684800.
The previous prime is 10221331019. The next prime is 10221331049. The reversal of 10221331032 is 23013312201.
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 = 10221330996 and 10221331014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1271907 + ... + 1279917.
It is an arithmetic number, because the mean of its divisors is an integer number (196314030).
Almost surely, 210221331032 is an apocalyptic number.
10221331032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10221331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705122400).
10221331032 is an abundant number, since it is smaller than the sum of its proper divisors (21188913768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221331032 is a wasteful number, since it uses less digits than its factorization.
10221331032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8219 (or 8206 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10221331032 its reverse (23013312201), we get a palindrome (33234643233).
It can be divided in two parts, 1022133 and 1032, that added together give a triangular number (1023165 = T1430).
The spelling of 10221331032 in words is "ten billion, two hundred twenty-one million, three hundred thirty-one thousand, thirty-two".
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