Base | Representation |
---|---|
bin | 1100000011100… |
… | …00010101010100 |
3 | 21001021121020120 |
4 | 12001300111110 |
5 | 201341422122 |
6 | 14011231540 |
7 | 2335351305 |
oct | 601602524 |
9 | 231247216 |
10 | 101123412 |
11 | 52099575 |
12 | 29a485b0 |
13 | 17c47c50 |
14 | d6047ac |
15 | 8d2775c |
hex | 6070554 |
101123412 has 72 divisors (see below), whose sum is σ = 270051936. Its totient is φ = 29271552.
The previous prime is 101123411. The next prime is 101123431. The reversal of 101123412 is 214321101.
It is a junction number, because it is equal to n+sod(n) for n = 101123391 and 101123400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101123411) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43963 + ... + 46205.
Almost surely, 2101123412 is an apocalyptic number.
101123412 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 101123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135025968).
101123412 is an abundant number, since it is smaller than the sum of its proper divisors (168928524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101123412 is a wasteful number, since it uses less digits than its factorization.
101123412 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2297 (or 2278 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 101123412 is about 10056.0137231410. The cubic root of 101123412 is about 465.8905537269.
Adding to 101123412 its reverse (214321101), we get a palindrome (315444513).
The spelling of 101123412 in words is "one hundred one million, one hundred twenty-three thousand, four hundred twelve".
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