Search a number
-
+
106073538983 = 6797229263271
BaseRepresentation
bin110001011001001111…
…0011100000110100111
3101010210110002002102222
41202302132130012213
53214214311221413
6120421324022555
710443413130146
oct1426236340647
9333713062388
10106073538983
1140a92824905
1218683991a5b
13a005bb5aa9
1451c393375d
152b5c54bb08
hex18b279c1a7

106073538983 has 32 divisors (see below), whose sum is σ = 110061557760. Its totient is φ = 102191569920.

The previous prime is 106073538971. The next prime is 106073539001. The reversal of 106073538983 is 389835370601.

It is a cyclic number.

It is not a de Polignac number, because 106073538983 - 210 = 106073537959 is a prime.

It is a super-2 number, since 2×1060735389832 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106073538913) 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 31 ways as a sum of consecutive naturals, for example, 391415138 + ... + 391415408.

It is an arithmetic number, because the mean of its divisors is an integer number (3439423680).

Almost surely, 2106073538983 is an apocalyptic number.

106073538983 is a deficient number, since it is larger than the sum of its proper divisors (3988018777).

106073538983 is a wasteful number, since it uses less digits than its factorization.

106073538983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 106073538983 in words is "one hundred six billion, seventy-three million, five hundred thirty-eight thousand, nine hundred eighty-three".

Divisors: 1 67 97 229 263 271 6499 15343 17621 18157 22213 25511 26287 60227 62059 71273 1488271 1709237 1761229 4035209 4157953 4775291 5842019 6019723 6913481 16321517 391415273 403321441 463203227 1093541639 1583187149 106073538983