Search a number
-
+
10002321021 = 371143300091
BaseRepresentation
bin10010101000010111…
…10100111001111101
3221211002010112222010
421110023310321331
5130441043233041
64332304241433
7502603216530
oct112413647175
927732115863
1010002321021
11427305a910
121b31910279
13c35320a64
146ac5a8a17
153d81baa16
hex2542f4e7d

10002321021 has 16 divisors (see below), whose sum is σ = 16627235328. Its totient is φ = 5196010800.

The previous prime is 10002321019. The next prime is 10002321041. The reversal of 10002321021 is 12012320001.

It is not a de Polignac number, because 10002321021 - 21 = 10002321019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002320988 and 10002321006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002321041) 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 15 ways as a sum of consecutive naturals, for example, 21649815 + ... + 21650276.

It is an arithmetic number, because the mean of its divisors is an integer number (1039202208).

Almost surely, 210002321021 is an apocalyptic number.

10002321021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002321021 is a deficient number, since it is larger than the sum of its proper divisors (6624914307).

10002321021 is a wasteful number, since it uses less digits than its factorization.

10002321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43300112.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10002321021 its reverse (12012320001), we get a palindrome (22014641022).

The spelling of 10002321021 in words is "ten billion, two million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 21 33 77 231 43300091 129900273 303100637 476301001 909301911 1428903003 3334107007 10002321021