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10226133437 = 131746272097
BaseRepresentation
bin10011000011000011…
…00110100110111101
3222101200021101212212
421201201212212331
5131420342232222
64410421310205
7511261462052
oct114141464675
928350241785
1010226133437
114378427453
121b94865365
13c6c7c4840
146d01c9029
153ecb7a6e2
hex2618669bd

10226133437 has 8 divisors (see below), whose sum is σ = 11660568696. Its totient is φ = 8884242432.

The previous prime is 10226133343. The next prime is 10226133473. The reversal of 10226133437 is 73433162201.

10226133437 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 4 ways, for example, as 4424112196 + 5802021241 = 66514^2 + 76171^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10226133437 - 224 = 10209356221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226133037) 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 7 ways as a sum of consecutive naturals, for example, 23135828 + ... + 23136269.

It is an arithmetic number, because the mean of its divisors is an integer number (1457571087).

Almost surely, 210226133437 is an apocalyptic number.

10226133437 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10226133437 is a deficient number, since it is larger than the sum of its proper divisors (1434435259).

10226133437 is a wasteful number, since it uses less digits than its factorization.

10226133437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46272127.

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 10226133437 its reverse (73433162201), we get a palindrome (83659295638).

The spelling of 10226133437 in words is "ten billion, two hundred twenty-six million, one hundred thirty-three thousand, four hundred thirty-seven".

Divisors: 1 13 17 221 46272097 601537261 786625649 10226133437