Search a number
-
+
1323102122001 = 321121214969809
BaseRepresentation
bin10011010000001111000…
…010000011000000010001
311200111011021001211212100
4103100033002003000101
5133134203120401001
62451454050151013
7164406463321632
oct23201702030021
94614137054770
101323102122001
11470140722400
12194514282469
13979ca390c0a
144807785b889
152463c1a8586
hex1340f083011

1323102122001 has 18 divisors (see below), whose sum is σ = 2100682801490. Its totient is φ = 801880073280.

The previous prime is 1323102121969. The next prime is 1323102122009. The reversal of 1323102122001 is 1002212013231.

1323102122001 is a `hidden beast` number, since 132 + 310 + 2 + 1 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1227389231376 + 95712890625 = 1107876^2 + 309375^2 .

It is not a de Polignac number, because 1323102122001 - 25 = 1323102121969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1323102122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 607483816 + ... + 607485993.

Almost surely, 21323102122001 is an apocalyptic number.

1323102122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1323102122001 is a deficient number, since it is larger than the sum of its proper divisors (777580679489).

1323102122001 is a wasteful number, since it uses less digits than its factorization.

1323102122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214969837 (or 1214969823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1323102122001 its reverse (1002212013231), we get a palindrome (2325314135232).

The spelling of 1323102122001 in words is "one trillion, three hundred twenty-three billion, one hundred two million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 11 33 99 121 363 1089 1214969809 3644909427 10934728281 13364667899 40094003697 120282011091 147011346889 441034040667 1323102122001