Search a number
-
+
10021331295 = 325391156941
BaseRepresentation
bin10010101010101000…
…10110000101011111
3221212101220101011100
421111110112011133
5131010430100140
64334223524143
7503223624213
oct112524260537
927771811140
1010021331295
114282864588
121b38159653
13c39248841
146b0d16943
153d9bc3530
hex25551615f

10021331295 has 24 divisors (see below), whose sum is σ = 17375054112. Its totient is φ = 5343249600.

The previous prime is 10021331249. The next prime is 10021331297. The reversal of 10021331295 is 59213312001.

10021331295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021331295 - 26 = 10021331231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021331297) 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 23 ways as a sum of consecutive naturals, for example, 147525 + ... + 204465.

It is an arithmetic number, because the mean of its divisors is an integer number (723960588).

Almost surely, 210021331295 is an apocalyptic number.

10021331295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10021331295 is a deficient number, since it is larger than the sum of its proper divisors (7353722817).

10021331295 is a wasteful number, since it uses less digits than its factorization.

10021331295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60863 (or 60860 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 10021331295 its reverse (59213312001), we get a palindrome (69234643296).

The spelling of 10021331295 in words is "ten billion, twenty-one million, three hundred thirty-one thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 45 3911 11733 19555 35199 56941 58665 170823 175995 284705 512469 854115 2562345 222696251 668088753 1113481255 2004266259 3340443765 10021331295