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10223130141 = 327229799369
BaseRepresentation
bin10011000010101100…
…01001011000011101
3222101110121211010200
421201112021120131
5131414110131031
64410233054113
7511224113100
oct114126113035
928343554120
1010223130141
114376765a94
121b93857339
13c6bcb2843
146cda46737
153ec7858e6
hex26158961d

10223130141 has 36 divisors (see below), whose sum is σ = 17769995100. Its totient is φ = 5640340608.

The previous prime is 10223130133. The next prime is 10223130143. The reversal of 10223130141 is 14103132201.

It can be written as a sum of positive squares in 2 ways, for example, as 4038094116 + 6185036025 = 63546^2 + 78645^2 .

It is not a de Polignac number, because 10223130141 - 23 = 10223130133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223130143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386896 + ... + 412473.

It is an arithmetic number, because the mean of its divisors is an integer number (493610975).

Almost surely, 210223130141 is an apocalyptic number.

It is an amenable number.

10223130141 is a deficient number, since it is larger than the sum of its proper divisors (7546864959).

10223130141 is a wasteful number, since it uses less digits than its factorization.

10223130141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799418 (or 799408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10223130141 its reverse (14103132201), we get a palindrome (24326262342).

The spelling of 10223130141 in words is "ten billion, two hundred twenty-three million, one hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 799369 2398107 5595583 7194321 16786749 23181701 39169081 50360247 69545103 117507243 162271907 208635309 352521729 486815721 1135903349 1460447163 3407710047 10223130141