| Base | Representation |
|---|---|
| bin | 10010101011110011… |
| … | …01011111010000000 |
| 3 | 221220002022200201222 |
| 4 | 21111321223322000 |
| 5 | 131020431320000 |
| 6 | 4335213414212 |
| 7 | 503403053546 |
| oct | 112571537200 |
| 9 | 27802280658 |
| 10 | 10031120000 |
| 11 | 428833aa20 |
| 12 | 1b3b49a368 |
| 13 | c3b295185 |
| 14 | 6b2343d96 |
| 15 | 3da9a8a85 |
| hex | 255e6be80 |
10031120000 has 160 divisors (see below), whose sum is σ = 27244404000. Its totient is φ = 3647360000.
The previous prime is 10031119993. The next prime is 10031120017. The reversal of 10031120000 is 2113001.
10031120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 10031120000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 874301 + ... + 885699.
It is an arithmetic number, because the mean of its divisors is an integer number (170277525).
Almost surely, 210031120000 is an apocalyptic number.
10031120000 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 10031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622202000).
10031120000 is an abundant number, since it is smaller than the sum of its proper divisors (17213284000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031120000 is an equidigital number, since it uses as much as digits as its factorization.
10031120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11444 (or 11417 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
Adding to 10031120000 its reverse (2113001), we get a palindrome (10033233001).
It can be divided in two parts, 10031 and 120000, that added together give a palindrome (130031).
The spelling of 10031120000 in words is "ten billion, thirty-one million, one hundred twenty thousand".
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