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2042222242331 = 83157156720301
BaseRepresentation
bin11101101101111101111…
…011100110101000011011
321020020022222102222212002
4131231331323212220123
5231424432343223311
64202103422111215
7300355112433335
oct35557573465033
97206288388762
102042222242331
11718113240437
1228b96811b50b
1311a771b3520b
1470bb6248455
15381c9b2693b
hex1db7dee6a1b

2042222242331 has 8 divisors (see below), whose sum is σ = 2079991848144. Its totient is φ = 2004766077600.

The previous prime is 2042222242309. The next prime is 2042222242351. The reversal of 2042222242331 is 1332422222402.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2042222242331 - 218 = 2042221980187 is a prime.

It is a super-2 number, since 2×20422222423312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042222242294 and 2042222242303.

It is not an unprimeable number, because it can be changed into a prime (2042222242351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78347120 + ... + 78373181.

It is an arithmetic number, because the mean of its divisors is an integer number (259998981018).

Almost surely, 22042222242331 is an apocalyptic number.

2042222242331 is a deficient number, since it is larger than the sum of its proper divisors (37769605813).

2042222242331 is a wasteful number, since it uses less digits than its factorization.

2042222242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156720541.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2042222242331 its reverse (1332422222402), we get a palindrome (3374644464733).

The spelling of 2042222242331 in words is "two trillion, forty-two billion, two hundred twenty-two million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 83 157 13031 156720301 13007784983 24605087257 2042222242331