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1320222332022 = 231131787819911
BaseRepresentation
bin10011001101100011011…
…000100001010001110110
311200012201120020100200020
4103031203120201101312
5133112303404111042
62450300214230010
7164245224443526
oct23154330412166
94605646210606
101320222332022
114699a30a7590
12193a4b955306
139765b878089
1447c831c7686
152451e45c3ec
hex13363621476

1320222332022 has 64 divisors (see below), whose sum is σ = 2977185742848. Its totient is φ = 386669556000.

The previous prime is 1320222332017. The next prime is 1320222332041. The reversal of 1320222332022 is 2202332220231.

It is a junction number, because it is equal to n+sod(n) for n = 1320222331983 and 1320222332001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200247 + ... + 2020157.

It is an arithmetic number, because the mean of its divisors is an integer number (46518527232).

Almost surely, 21320222332022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320222332022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488592871424).

1320222332022 is an abundant number, since it is smaller than the sum of its proper divisors (1656963410826).

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

1320222332022 is a wasteful number, since it uses less digits than its factorization.

1320222332022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820745.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1320222332022 its reverse (2202332220231), we get a palindrome (3522554552253).

The spelling of 1320222332022 in words is "one trillion, three hundred twenty billion, two hundred twenty-two million, three hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 787 1023 1574 2046 2361 4722 8657 17314 24397 25971 48794 51942 73191 146382 268367 536734 805101 819911 1610202 1639822 2459733 4919466 9019021 18038042 25417241 27057063 50834482 54114126 76251723 152503446 279589651 559179302 645269957 838768953 1290539914 1677537906 1935809871 3871619742 7097969527 14195939054 20003368667 21293908581 40006737334 42587817162 60010106001 120020212002 220037055337 440074110674 660111166011 1320222332022