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10133422431 = 31189238767
BaseRepresentation
bin10010110111111111…
…11100000101011111
3222011012211012021220
421123333330011133
5131223124004211
64353310224423
7506054445426
oct113377740537
928135735256
1010133422431
114330064290
121b697b5113
13c56533962
146c1b742bd
153e4965806
hex25bffc15f

10133422431 has 24 divisors (see below), whose sum is σ = 14907381504. Its totient is φ = 6072306240.

The previous prime is 10133422417. The next prime is 10133422433. The reversal of 10133422431 is 13422433101.

It is a happy number.

It is not a de Polignac number, because 10133422431 - 26 = 10133422367 is a prime.

It is a super-2 number, since 2×101334224312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133422433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242010 + ... + 280776.

It is an arithmetic number, because the mean of its divisors is an integer number (621140896).

Almost surely, 210133422431 is an apocalyptic number.

10133422431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133422431 is a deficient number, since it is larger than the sum of its proper divisors (4773959073).

10133422431 is an equidigital number, since it uses as much as digits as its factorization.

10133422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38959 (or 38870 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10133422431 its reverse (13422433101), we get a palindrome (23555855532).

The spelling of 10133422431 in words is "ten billion, one hundred thirty-three million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 89 267 979 2937 7921 23763 38767 87131 116301 261393 426437 1279311 3450263 10350789 37952893 113858679 307073407 921220221 3377807477 10133422431