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1022133212331 = 371129152579969
BaseRepresentation
bin11101101111110111110…
…00110001010010101011
310121201022012222002220220
432313323320301102223
5113221312100243311
62101321142021123
7133563261644610
oct16677370612253
93551265862826
101022133212331
11364536607a10
1214611a4177a3
13755048bc49a
1437685b82507
151b8c490a206
hexedfbe314ab

1022133212331 has 32 divisors (see below), whose sum is σ = 1757721254400. Its totient is φ = 512668692480.

The previous prime is 1022133212291. The next prime is 1022133212341. The reversal of 1022133212331 is 1332123312201.

It is not a de Polignac number, because 1022133212331 - 26 = 1022133212267 is a prime.

It is a super-2 number, since 2×10221332123312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022133212341) 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, 76283286 + ... + 76296683.

It is an arithmetic number, because the mean of its divisors is an integer number (54928789200).

Almost surely, 21022133212331 is an apocalyptic number.

1022133212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022133212331 is a deficient number, since it is larger than the sum of its proper divisors (735588042069).

1022133212331 is a wasteful number, since it uses less digits than its factorization.

1022133212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152580019.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1022133212331 its reverse (1332123312201), we get a palindrome (2354256524532).

The spelling of 1022133212331 in words is "one trillion, twenty-two billion, one hundred thirty-three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 152579969 457739907 1068059783 1678379659 3204179349 4424819101 5035138977 11748657613 13274457303 30973733707 35245972839 48673010111 92921201121 146019030333 340711070777 1022133212331