Search a number
-
+
10021213410 = 23513174114759
BaseRepresentation
bin10010101010100111…
…11001010011100010
3221212101200101110020
421111103321103202
5131010412312120
64334221214310
7503222623425
oct112523712342
927771611406
1010021213410
114282793a5a
121b38101396
13c39206ca0
146b0cc59bc
153d9b9d640
hex2554f94e2

10021213410 has 64 divisors (see below), whose sum is σ = 25917615360. Its totient is φ = 2465176320.

The previous prime is 10021213381. The next prime is 10021213451. The reversal of 10021213410 is 1431212001.

10021213410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021213410.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 671611 + ... + 686369.

It is an arithmetic number, because the mean of its divisors is an integer number (404962740).

Almost surely, 210021213410 is an apocalyptic number.

10021213410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021213410 is an abundant number, since it is smaller than the sum of its proper divisors (15896401950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10021213410 is a wasteful number, since it uses less digits than its factorization.

10021213410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16523.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10021213410 its reverse (1431212001), we get a palindrome (11452425411).

The spelling of 10021213410 in words is "ten billion, twenty-one million, two hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1741 3482 5223 8705 10446 14759 17410 22633 26115 29518 44277 45266 52230 67899 73795 88554 113165 135798 147590 191867 221385 226330 339495 383734 442770 575601 678990 959335 1151202 1918670 2878005 5756010 25695419 51390838 77086257 128477095 154172514 256954190 334040447 385431285 668080894 770862570 1002121341 1670202235 2004242682 3340404470 5010606705 10021213410