Search a number
-
+
1322101122231 = 33717966540899
BaseRepresentation
bin10011001111010011010…
…111100010010010110111
311200101120111111210022210
4103033103113202102313
5133130130341402411
62451210451224503
7164342620055151
oct23172327422267
94611514453283
101322101122231
1146a77768646a
12194294ba8133
139789ab93966
1447dc092dad1
15245ce37aca6
hex133d35e24b7

1322101122231 has 16 divisors (see below), whose sum is σ = 1820559024000. Its totient is φ = 852788148768.

The previous prime is 1322101122227. The next prime is 1322101122241. The reversal of 1322101122231 is 1322211012231.

It is not a de Polignac number, because 1322101122231 - 22 = 1322101122227 is a prime.

It is a super-2 number, since 2×13221011222312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322101122198 and 1322101122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322101122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33250581 + ... + 33290318.

It is an arithmetic number, because the mean of its divisors is an integer number (113784939000).

Almost surely, 21322101122231 is an apocalyptic number.

1322101122231 is a deficient number, since it is larger than the sum of its proper divisors (498457901769).

1322101122231 is a wasteful number, since it uses less digits than its factorization.

1322101122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66541118.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1322101122231 its reverse (1322211012231), we get a palindrome (2644312134462).

The spelling of 1322101122231 in words is "one trillion, three hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 37 111 179 537 6623 19869 66540899 199622697 2462013263 7386039789 11910820921 35732462763 440700374077 1322101122231