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10322133224 = 231399251281
BaseRepresentation
bin10011001110011111…
…10100000011101000
3222122100220200211112
421213033310003220
5132114431230344
64424131045452
7513535453604
oct114717640350
928570820745
1010322133224
114417636517
122000a40888
13c86667650
146dcc58504
154062dec9e
hex2673f40e8

10322133224 has 16 divisors (see below), whose sum is σ = 20842769220. Its totient is φ = 4764061440.

The previous prime is 10322133221. The next prime is 10322133247. The reversal of 10322133224 is 42233122301.

10322133224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10197364324 + 124768900 = 100982^2 + 11170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10322133224.

It is not an unprimeable number, because it can be changed into a prime (10322133221) 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 3 ways as a sum of consecutive naturals, for example, 49625537 + ... + 49625744.

Almost surely, 210322133224 is an apocalyptic number.

It is an amenable number.

10322133224 is an abundant number, since it is smaller than the sum of its proper divisors (10520635996).

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

10322133224 is a wasteful number, since it uses less digits than its factorization.

10322133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99251300 (or 99251296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10322133224 its reverse (42233122301), we get a palindrome (52555255525).

The spelling of 10322133224 in words is "ten billion, three hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 99251281 198502562 397005124 794010248 1290266653 2580533306 5161066612 10322133224