Base | Representation |
---|---|
bin | 1001000111111001100111… |
… | …1011110010010111111000 |
3 | 1022111222121201110021220020 |
4 | 2101332121323302113320 |
5 | 2303323131243114112 |
6 | 33200155133530440 |
7 | 2053511511345000 |
oct | 221763173622770 |
9 | 38458551407806 |
10 | 10031331223032 |
11 | 3218299a60679 |
12 | 1160180643a20 |
13 | 579c4826b152 |
14 | 26973a2a5000 |
15 | 125e1087848c |
hex | 91f99ef25f8 |
10031331223032 has 512 divisors, whose sum is σ = 31709283840000. Its totient is φ = 2635251548160.
The previous prime is 10031331223021. The next prime is 10031331223033. The reversal of 10031331223032 is 23032213313001.
It is a super-2 number, since 2×100313312230322 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 10031331222993 and 10031331223011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10031331223033) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1279339432 + ... + 1279347272.
It is an arithmetic number, because the mean of its divisors is an integer number (61932195000).
Almost surely, 210031331223032 is an apocalyptic number.
10031331223032 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 10031331223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854641920000).
10031331223032 is an abundant number, since it is smaller than the sum of its proper divisors (21677952616968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031331223032 is a wasteful number, since it uses less digits than its factorization.
10031331223032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8156 (or 8138 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 24.
Adding to 10031331223032 its reverse (23032213313001), we get a palindrome (33063544536033).
The spelling of 10031331223032 in words is "ten trillion, thirty-one billion, three hundred thirty-one million, two hundred twenty-three thousand, thirty-two".
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