Search a number
-
+
10021313331 = 331619322921
BaseRepresentation
bin10010101010101000…
…10001101100110011
3221212101212110112000
421111110101230303
5131010424011311
64334223305043
7503223520641
oct112524215463
927771773460
1010021313331
114282852037
121b3814b183
13c39240603
146b0d10191
153d9bbd056
hex255511b33

10021313331 has 16 divisors (see below), whose sum is σ = 14847954720. Its totient is φ = 6680171520.

The previous prime is 10021313311. The next prime is 10021313369. The reversal of 10021313331 is 13331312001.

It is a happy number.

10021313331 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 313 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10021313331 is a prime.

It is a super-2 number, since 2×100213133312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10021313311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425751 + ... + 448671.

It is an arithmetic number, because the mean of its divisors is an integer number (927997170).

Almost surely, 210021313331 is an apocalyptic number.

10021313331 is a deficient number, since it is larger than the sum of its proper divisors (4826641389).

10021313331 is a wasteful number, since it uses less digits than its factorization.

10021313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39123 (or 39117 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10021313331 its reverse (13331312001), we get a palindrome (23352625332).

The spelling of 10021313331 in words is "ten billion, twenty-one million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 16193 22921 48579 68763 145737 206289 437211 618867 371159753 1113479259 3340437777 10021313331