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10022355205 = 537613732381
BaseRepresentation
bin10010101010110000…
…10000000100000101
3221212110211101200221
421111120100010011
5131011210331310
64334301504341
7503235420322
oct112530200405
927773741627
1010022355205
1142833a3895
121b385720b1
13c395168c5
146b1101b49
153d9d26ada
hex255610105

10022355205 has 32 divisors (see below), whose sum is σ = 12593310048. Its totient is φ = 7649510400.

The previous prime is 10022355191. The next prime is 10022355209. The reversal of 10022355205 is 50255322001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6096330241 + 3926024964 = 78079^2 + 62658^2 .

It is not a de Polignac number, because 10022355205 - 227 = 9888137477 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022355205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022355209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4208115 + ... + 4210495.

It is an arithmetic number, because the mean of its divisors is an integer number (393540939).

Almost surely, 210022355205 is an apocalyptic number.

It is an amenable number.

10022355205 is a deficient number, since it is larger than the sum of its proper divisors (2570954843).

10022355205 is a wasteful number, since it uses less digits than its factorization.

10022355205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857.

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 10022355205 its reverse (50255322001), we get a palindrome (60277677206).

The spelling of 10022355205 in words is "ten billion, twenty-two million, three hundred fifty-five thousand, two hundred five".

Divisors: 1 5 37 61 185 305 373 1865 2257 2381 11285 11905 13801 22753 69005 88097 113765 145241 440485 726205 841861 888113 4209305 4440565 5373917 26869585 32860181 54174893 164300905 270874465 2004471041 10022355205