Search a number
-
+
10021220010 = 2325176549817
BaseRepresentation
bin10010101010100111…
…11010111010101010
3221212101200201111200
421111103322322222
5131010413020020
64334221305030
7503222651604
oct112523727252
927771621450
1010021220010
114282798a0a
121b38105176
13c39209ca9
146b0cc8174
153d9ba0590
hex2554faeaa

10021220010 has 48 divisors (see below), whose sum is σ = 27587833416. Its totient is φ = 2515129344.

The previous prime is 10021220003. The next prime is 10021220057. The reversal of 10021220010 is 1002212001.

It can be written as a sum of positive squares in 4 ways, for example, as 9408806001 + 612414009 = 96999^2 + 24747^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021219974 and 10021220001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273379 + ... + 3276438.

Almost surely, 210021220010 is an apocalyptic number.

10021220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021220010 is an abundant number, since it is smaller than the sum of its proper divisors (17566613406).

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

10021220010 is a wasteful number, since it uses less digits than its factorization.

10021220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549847 (or 6549844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021220010 its reverse (1002212001), we get a palindrome (11023432011).

The spelling of 10021220010 in words is "ten billion, twenty-one million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 6549817 13099634 19649451 32749085 39298902 58948353 65498170 98247255 111346889 117896706 196494510 222693778 294741765 334040667 556734445 589483530 668081334 1002122001 1113468890 1670203335 2004244002 3340406670 5010610005 10021220010