Base | Representation |
---|---|
bin | 1100000010101… |
… | …11110101111100 |
3 | 21001002111122022 |
4 | 12001113311330 |
5 | 201330214400 |
6 | 14005135312 |
7 | 2334452663 |
oct | 601276574 |
9 | 231074568 |
10 | 101023100 |
11 | 52030172 |
12 | 299ba538 |
13 | 17c113a9 |
14 | d5b9dda |
15 | 8d07b85 |
hex | 6057d7c |
101023100 has 36 divisors (see below), whose sum is σ = 219704688. Its totient is φ = 40320000.
The previous prime is 101023081. The next prime is 101023123. The reversal of 101023100 is 1320101.
101023100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1010231002 = 20411333467220000, which contains 22 as substring.
101023100 is strictly pandigital in base 9.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62300 + ... + 63900.
It is an arithmetic number, because the mean of its divisors is an integer number (6102908).
Almost surely, 2101023100 is an apocalyptic number.
101023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
101023100 is an abundant number, since it is smaller than the sum of its proper divisors (118681588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101023100 is a wasteful number, since it uses less digits than its factorization.
101023100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2246 (or 2239 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
The square root of 101023100 is about 10051.0248233700. The cubic root of 101023100 is about 465.7364520079.
Adding to 101023100 its reverse (1320101), we get a palindrome (102343201).
The spelling of 101023100 in words is "one hundred one million, twenty-three thousand, one hundred".
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