Base | Representation |
---|---|
bin | 111001011000010001… |
… | …1110110001101101000 |
3 | 102210001111120011010121 |
4 | 1302300203312031220 |
5 | 4004324121141100 |
6 | 132335043253024 |
7 | 11621352345133 |
oct | 1626043661550 |
9 | 383044504117 |
10 | 123221271400 |
11 | 48292216a97 |
12 | 1ba6a67a174 |
13 | b809692c16 |
14 | 5d6d0ab21a |
15 | 3312ba651a |
hex | 1cb08f6368 |
123221271400 has 96 divisors (see below), whose sum is σ = 288780266880. Its totient is φ = 48896000000.
The previous prime is 123221271367. The next prime is 123221271401. The reversal of 123221271400 is 4172122321.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (123221271401) 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, 12896625 + ... + 12906175.
It is an arithmetic number, because the mean of its divisors is an integer number (3008127780).
Almost surely, 2123221271400 is an apocalyptic number.
123221271400 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 123221271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144390133440).
123221271400 is an abundant number, since it is smaller than the sum of its proper divisors (165558995480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123221271400 is a wasteful number, since it uses less digits than its factorization.
123221271400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10075 (or 10066 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 25.
Adding to 123221271400 its reverse (4172122321), we get a palindrome (127393393721).
The spelling of 123221271400 in words is "one hundred twenty-three billion, two hundred twenty-one million, two hundred seventy-one thousand, four hundred".
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