Search a number
-
+
10079282021 = 2910321812
BaseRepresentation
bin10010110001100010…
…11010001101100101
3222000102221120121112
421120301122031211
5131120244011041
64344053554405
7504526324604
oct113061321545
928012846545
1010079282021
114302545846
121b53645a05
13c48258b03
146b88bda3b
153ded1ddeb
hex258c5a365

10079282021 has 18 divisors (see below), whose sum is σ = 10587550770. Its totient is φ = 9583993440.

The previous prime is 10079281969. The next prime is 10079282047. The reversal of 10079282021 is 12028297001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 745017025 + 9334264996 = 27295^2 + 96614^2 .

It is not a de Polignac number, because 10079282021 - 26 = 10079281957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079282821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55686551 + ... + 55686731.

It is an arithmetic number, because the mean of its divisors is an integer number (588197265).

Almost surely, 210079282021 is an apocalyptic number.

It is an amenable number.

10079282021 is a deficient number, since it is larger than the sum of its proper divisors (508268749).

10079282021 is an frugal number, since it uses more digits than its factorization.

10079282021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10079282021 in words is "ten billion, seventy-nine million, two hundred eighty-two thousand, twenty-one".

Divisors: 1 29 103 181 2987 5249 10609 18643 32761 307661 540647 950069 1920229 3374383 55686641 97857107 347561449 10079282021