Search a number
-
+
1323202023231 = 3112191011899523
BaseRepresentation
bin10011010000010100111…
…111001000111100111111
311200111102020001100120220
4103100110333020330333
5133134404204220411
62451512015312423
7164412115423104
oct23202477107477
94614366040526
101323202023231
11470192056700
1219454181b713
1397a14c9b77a
1448086c24aab
1524645d3db06
hex13414fc8f3f

1323202023231 has 48 divisors (see below), whose sum is σ = 2061515406720. Its totient is φ = 752210712000.

The previous prime is 1323202023229. The next prime is 1323202023257.

1323202023231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1323202023231 - 21 = 1323202023229 is a prime.

It is a super-2 number, since 2×13232020232312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323202023211) 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 47 ways as a sum of consecutive naturals, for example, 253165 + ... + 1646358.

It is an arithmetic number, because the mean of its divisors is an integer number (42948237640).

Almost surely, 21323202023231 is an apocalyptic number.

1323202023231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1323202023231 is a deficient number, since it is larger than the sum of its proper divisors (738313383489).

1323202023231 is a wasteful number, since it uses less digits than its factorization.

1323202023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899668 (or 1899657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 1323202023231 in words is "one trillion, three hundred twenty-three billion, two hundred two million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 19 33 57 101 121 209 303 363 627 1111 1919 2299 3333 5757 6897 12221 21109 36663 63327 232199 696597 1899523 5698569 20894753 36090937 62684259 108272811 191851823 229842283 397000307 575555469 689526849 1191000921 2110370053 3645184637 4367003377 6331110159 10935553911 13101010131 23214070583 40097031007 69642211749 120291093021 441067341077 1323202023231