Search a number
-
+
10224413321410 = 2517348771724449
BaseRepresentation
bin1001010011001000111010…
…0001100010100011000010
31100012102222221111011102001
42110302032201202203002
52320004044302241120
633425010341214214
72103455331165421
oct224621641424302
940172887434361
1010224413321410
113292170851a02
12119168740136a
1359220929a8c2
14274c156bb2b8
1512ae617ede0a
hex94c8e8628c2

10224413321410 has 32 divisors (see below), whose sum is σ = 19487098940400. Its totient is φ = 3849078300672.

The previous prime is 10224413321383. The next prime is 10224413321411. The reversal of 10224413321410 is 1412331442201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8162923268889 + 2061490052521 = 2857083^2 + 1435789^2 .

It is not an unprimeable number, because it can be changed into a prime (10224413321411) 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, 5066866 + ... + 6791314.

Almost surely, 210224413321410 is an apocalyptic number.

10224413321410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10224413321410 is a deficient number, since it is larger than the sum of its proper divisors (9262685618990).

10224413321410 is a wasteful number, since it uses less digits than its factorization.

10224413321410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759350.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10224413321410 its reverse (1412331442201), we get a palindrome (11636744763611).

The spelling of 10224413321410 in words is "ten trillion, two hundred twenty-four billion, four hundred thirteen million, three hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 5 10 17 34 85 170 34877 69754 174385 348770 592909 1185818 1724449 2964545 3448898 5929090 8622245 17244490 29315633 58631266 146578165 293156330 60143607773 120287215546 300718038865 601436077730 1022441332141 2044882664282 5112206660705 10224413321410