Search a number
-
+
10210202010010 = 2510110109110901
BaseRepresentation
bin1001010010010011111101…
…1101101100000110011010
31100011002022112101202002101
42110210333131230012122
52314240443203310020
633414300235354014
72102443216061602
oct224447735540632
940132275352071
1010210202010010
113287138945352
12118a97bbb290a
13590a82c73cc2
14274268119c02
1512a8cdd7a00a
hex9493f76c19a

10210202010010 has 16 divisors (see below), whose sum is σ = 18560327616072. Its totient is φ = 4043644360000.

The previous prime is 10210202009963. The next prime is 10210202010017. The reversal of 10210202010010 is 1001020201201.

It can be written as a sum of positive squares in 4 ways, for example, as 9169746929281 + 1040455080729 = 3028159^2 + 1020027^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10210202010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5054554441 + ... + 5054556460.

Almost surely, 210210202010010 is an apocalyptic number.

10210202010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10210202010010 is a deficient number, since it is larger than the sum of its proper divisors (8350125606062).

10210202010010 is a wasteful number, since it uses less digits than its factorization.

10210202010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109111009.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210202010010 its reverse (1001020201201), we get a palindrome (11211222211211).

The spelling of 10210202010010 in words is "ten trillion, two hundred ten billion, two hundred two million, ten thousand, ten".

Divisors: 1 2 5 10 101 202 505 1010 10109110901 20218221802 50545554505 101091109010 1021020201001 2042040402002 5105101005005 10210202010010