Search a number
-
+
103221132021 = 32719317272029
BaseRepresentation
bin110000000100001110…
…1010111101011110101
3100212102122202210200200
41200020131113223311
53142344102211041
6115230311031113
710312626100650
oct1401035275365
9325378683620
10103221132021
113a859702287
121800866b499
13996cc69a17
144dd2b8a897
152a41e0e1b6
hex1808757af5

103221132021 has 48 divisors (see below), whose sum is σ = 179931523200. Its totient is φ = 55702629504.

The previous prime is 103221132011. The next prime is 103221132041. The reversal of 103221132021 is 120231122301.

103221132021 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 1 + 320 + 21 = 666.

It is not a de Polignac number, because 103221132021 - 214 = 103221115637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103221131985 and 103221132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103221132011) 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 47 ways as a sum of consecutive naturals, for example, 243435 + ... + 515463.

It is an arithmetic number, because the mean of its divisors is an integer number (3748573400).

Almost surely, 2103221132021 is an apocalyptic number.

It is an amenable number.

103221132021 is a deficient number, since it is larger than the sum of its proper divisors (76710391179).

103221132021 is a wasteful number, since it uses less digits than its factorization.

103221132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272378 (or 272375 counting only the distinct ones).

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

Adding to 103221132021 its reverse (120231122301), we get a palindrome (223452254322).

The spelling of 103221132021 in words is "one hundred three billion, two hundred twenty-one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 317 399 951 1197 2219 2853 6023 6657 18069 19971 42161 54207 126483 272029 379449 816087 1904203 2448261 5168551 5712609 15505653 17137827 36179857 46516959 86233193 108539571 258699579 325618713 603632351 776098737 1638430667 1810897053 4915292001 5432691159 11469014669 14745876003 34407044007 103221132021