Search a number
-
+
2132320010331 = 3717113139380269
BaseRepresentation
bin11111000001111000001…
…011010100000001011011
321112211220001021211110110
4133001320023110001123
5234413442410312311
64311324014015403
7310024610014650
oct37017013240133
97484801254413
102132320010331
11752348069025
122a53117a7563
131260ccc99084
14752c2115c27
153a6ee8668a6
hex1f0782d405b

2132320010331 has 64 divisors (see below), whose sum is σ = 3495806899200. Its totient is φ = 1128465063936.

The previous prime is 2132320010299. The next prime is 2132320010339. The reversal of 2132320010331 is 1330100232312.

It is not a de Polignac number, because 2132320010331 - 25 = 2132320010299 is a prime.

It is a super-2 number, since 2×21323200103312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2132320010298 and 2132320010307.

It is not an unprimeable number, because it can be changed into a prime (2132320010339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5417265 + ... + 5797533.

It is an arithmetic number, because the mean of its divisors is an integer number (54621982800).

Almost surely, 22132320010331 is an apocalyptic number.

2132320010331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2132320010331 is a deficient number, since it is larger than the sum of its proper divisors (1363486888869).

2132320010331 is a wasteful number, since it uses less digits than its factorization.

2132320010331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380548.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2132320010331 its reverse (1330100232312), we get a palindrome (3462420242643).

The spelling of 2132320010331 in words is "two trillion, one hundred thirty-two billion, three hundred twenty million, ten thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 113 119 139 339 357 417 791 973 1921 2363 2373 2919 5763 7089 13447 15707 16541 40341 47121 49623 109949 267019 329847 380269 801057 1140807 1869133 2661883 5607399 6464573 7985649 19393719 42970397 45252011 52857391 128911191 135756033 158572173 300792779 370001737 730496749 898575647 902378337 1110005211 2191490247 2695726941 5113477243 5972885183 6290029529 15340431729 17918655549 18870088587 41810196281 101539048111 125430588843 304617144333 710773336777 2132320010331