Base | Representation |
---|---|
bin | 10011010000010000001… |
… | …110101000110111010100 |
3 | 11200111012122211220201200 |
4 | 103100100032220313110 |
5 | 133134223240400040 |
6 | 2451500044352500 |
7 | 164410126064265 |
oct | 23202016506724 |
9 | 4614178756650 |
10 | 1323122200020 |
11 | 470150a96305 |
12 | 19451ab45730 |
13 | 97a015a09ba |
14 | 4807a3a696c |
15 | 2463dd22630 |
hex | 134103a8dd4 |
1323122200020 has 144 divisors (see below), whose sum is σ = 4159761125520. Its totient is φ = 340146874368.
The previous prime is 1323122199991. The next prime is 1323122200039. The reversal of 1323122200020 is 200022213231.
1323122200020 is a `hidden beast` number, since 1 + 323 + 122 + 200 + 0 + 20 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 270914004036 + 1052208195984 = 520494^2 + 1025772^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1323122199966 and 1323122200002.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 185377 + ... + 1637256.
Almost surely, 21323122200020 is an apocalyptic number.
1323122200020 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 1323122200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079880562760).
1323122200020 is an abundant number, since it is smaller than the sum of its proper divisors (2836638925500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1323122200020 is a wasteful number, since it uses less digits than its factorization.
1323122200020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1822794 (or 1822789 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 1323122200020 its reverse (200022213231), we get a palindrome (1523144413251).
It can be divided in two parts, 132312 and 2200020, that added together give a palindrome (2332332).
The spelling of 1323122200020 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-two million, two hundred thousand, twenty".
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