Base | Representation |
---|---|
bin | 1001000111011101010011… |
… | …1100000000111000111000 |
3 | 1022111021000001200022020112 |
4 | 2101313110330000320320 |
5 | 2303212100142004030 |
6 | 33152501043043452 |
7 | 2053122255266030 |
oct | 221672474007070 |
9 | 38437001608215 |
10 | 10023731203640 |
11 | 3215049a45610 |
12 | 115a7bb370588 |
13 | 57930686085b |
14 | 269218b988c0 |
15 | 125b1853aa95 |
hex | 91dd4f00e38 |
10023731203640 has 128 divisors (see below), whose sum is σ = 28124604587520. Its totient is φ = 3123603648000.
The previous prime is 10023731203637. The next prime is 10023731203669. The reversal of 10023731203640 is 4630213732001.
It is a junction number, because it is equal to n+sod(n) for n = 10023731203597 and 10023731203606.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13975214 + ... + 14674946.
It is an arithmetic number, because the mean of its divisors is an integer number (219723473340).
Almost surely, 210023731203640 is an apocalyptic number.
10023731203640 is a gapful number since it is divisible by the number (10) 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 10023731203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062302293760).
10023731203640 is an abundant number, since it is smaller than the sum of its proper divisors (18100873383880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023731203640 is a wasteful number, since it uses less digits than its factorization.
10023731203640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 704413 (or 704409 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 32.
Adding to 10023731203640 its reverse (4630213732001), we get a palindrome (14653944935641).
The spelling of 10023731203640 in words is "ten trillion, twenty-three billion, seven hundred thirty-one million, two hundred three thousand, six hundred forty".
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