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1020320201322 = 23329773842879
BaseRepresentation
bin11101101100011111101…
…00101011101001101010
310121112121212110121101000
432312033310223221222
5113204103432420242
62100421214535430
7133500325420332
oct16661764535152
93545555417330
101020320201322
11363796176a04
121458b3207576
13752a60c51c6
14375530800c2
151b81a681a4c
hexed8fd2ba6a

1020320201322 has 64 divisors (see below), whose sum is σ = 2348600832000. Its totient is φ = 327953715264.

The previous prime is 1020320201321. The next prime is 1020320201347. The reversal of 1020320201322 is 2231020230201.

1020320201322 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 320 + 20 + 1 + 322 = 666.

It is a super-2 number, since 2×10203202013222 (a number of 25 digits) contains 22 as substring.

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 = 1020320201295 and 1020320201304.

It is not an unprimeable number, because it can be changed into a prime (1020320201321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789079 + ... + 1631957.

It is an arithmetic number, because the mean of its divisors is an integer number (36696888000).

Almost surely, 21020320201322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020320201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174300416000).

1020320201322 is an abundant number, since it is smaller than the sum of its proper divisors (1328280630678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020320201322 is a wasteful number, since it uses less digits than its factorization.

1020320201322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843692 (or 843686 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1020320201322 its reverse (2231020230201), we get a palindrome (3251340431523).

The spelling of 1020320201322 in words is "one trillion, twenty billion, three hundred twenty million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 773 783 1546 1566 2319 4638 6957 13914 20871 22417 41742 44834 67251 134502 201753 403506 605259 842879 1210518 1685758 2528637 5057274 7585911 15171822 22757733 24443491 45515466 48886982 73330473 146660946 219991419 439982838 651545467 659974257 1303090934 1319948514 1954636401 3909272802 5863909203 11727818406 17591727609 18894818543 35183455218 37789637086 56684455629 113368911258 170053366887 340106733774 510160100661 1020320201322