| Base | Representation |
|---|---|
| bin | 10010110100010011… |
| … | …01101110100101100 |
| 3 | 222002001111200001212 |
| 4 | 21122021231310230 |
| 5 | 131142210243040 |
| 6 | 4350242053552 |
| 7 | 505230150443 |
| oct | 113211556454 |
| 9 | 28061450055 |
| 10 | 10102431020 |
| 11 | 4314616a50 |
| 12 | 1b5b34a2b8 |
| 13 | c4cca2646 |
| 14 | 6bb9c7d5a |
| 15 | 3e1d92d65 |
| hex | 25a26dd2c |
10102431020 has 96 divisors (see below), whose sum is σ = 23356118016. Its totient is φ = 3640089600.
The previous prime is 10102430993. The next prime is 10102431023. The reversal of 10102431020 is 2013420101.
10102431020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×101024310202 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10102430986 and 10102431004.
It is not an unprimeable number, because it can be changed into a prime (10102431023) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 17035844 + ... + 17036436.
It is an arithmetic number, because the mean of its divisors is an integer number (243292896).
Almost surely, 210102431020 is an apocalyptic number.
10102431020 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 10102431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678059008).
10102431020 is an abundant number, since it is smaller than the sum of its proper divisors (13253686996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10102431020 is a wasteful number, since it uses less digits than its factorization.
10102431020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
Adding to 10102431020 its reverse (2013420101), we get a palindrome (12115851121).
The spelling of 10102431020 in words is "ten billion, one hundred two million, four hundred thirty-one thousand, twenty".
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