Search a number
-
+
10021031021 = 175319158231
BaseRepresentation
bin10010101010100110…
…01100110001101101
3221212101100010021002
421111103030301231
5131010340443041
64334213250045
7503221233611
oct112523146155
927771303232
1010021031021
114282679a21
121b38033925
13c39171c71
146b0c79341
153d9b6459b
hex2554ccc6d

10021031021 has 16 divisors (see below), whose sum is σ = 10867488768. Its totient is φ = 9204998400.

The previous prime is 10021030993. The next prime is 10021031039. The reversal of 10021031021 is 12013012001.

10021031021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021031021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021030993 and 10021031011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021031051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142976 + ... + 201206.

It is an arithmetic number, because the mean of its divisors is an integer number (679218048).

Almost surely, 210021031021 is an apocalyptic number.

It is an amenable number.

10021031021 is a deficient number, since it is larger than the sum of its proper divisors (846457747).

10021031021 is a wasteful number, since it uses less digits than its factorization.

10021031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58492.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10021031021 its reverse (12013012001), we get a palindrome (22034043022).

The spelling of 10021031021 in words is "ten billion, twenty-one million, thirty-one thousand, twenty-one".

Divisors: 1 17 53 191 901 3247 10123 58231 172091 989927 3086243 11122121 52466131 189076057 589472413 10021031021