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10022322012231 = 371241592732941
BaseRepresentation
bin1001000111011000000011…
…1100011000000001000111
31022111010100212000222001010
42101312000330120001013
52303201203413342411
633152105143133303
72053042324332204
oct221660074300107
938433325028033
1010022322012231
113214496549211
12115a487444233
13579140914599
14269123972cab
15125a8497c7a6
hex91d80f18047

10022322012231 has 32 divisors (see below), whose sum is σ = 13610247146496. Its totient is φ = 6558801984000.

The previous prime is 10022322012193. The next prime is 10022322012233. The reversal of 10022322012231 is 13221022322001.

It is not a de Polignac number, because 10022322012231 - 233 = 10013732077639 is a prime.

It is a super-2 number, since 2×100223220122312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022322012198 and 10022322012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022322012233) 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 31 ways as a sum of consecutive naturals, for example, 304234221 + ... + 304267161.

It is an arithmetic number, because the mean of its divisors is an integer number (425320223328).

Almost surely, 210022322012231 is an apocalyptic number.

10022322012231 is a deficient number, since it is larger than the sum of its proper divisors (3587925134265).

10022322012231 is a wasteful number, since it uses less digits than its factorization.

10022322012231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39183.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10022322012231 its reverse (13221022322001), we get a palindrome (23243344334232).

The spelling of 10022322012231 in words is "ten trillion, twenty-two billion, three hundred twenty-two million, twelve thousand, two hundred thirty-one".

Divisors: 1 3 71 213 241 723 5927 17111 17781 32941 51333 98823 420817 1262451 1428407 2338811 4285221 7016433 7938781 23816343 101416897 195241307 304250691 563653451 585723921 1690960353 13862132797 41586398391 47053154987 141159464961 3340774004077 10022322012231