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10133433101 = 11283747381
BaseRepresentation
bin10010110111111111…
…11110101100001101
3222011012211201221002
421123333332230031
5131223124324401
64353310350045
7506054521511
oct113377765415
928135751832
1010133433101
114330071300
121b697bb325
13c5653877c
146c1b78141
153e4968a6b
hex25bffeb0d

10133433101 has 6 divisors (see below), whose sum is σ = 11138401806. Its totient is φ = 9212211800.

The previous prime is 10133433097. The next prime is 10133433119.

10133433101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 5191202500 + 4942230601 = 72050^2 + 70301^2 .

It is not a de Polignac number, because 10133433101 - 22 = 10133433097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133433131) 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 5 ways as a sum of consecutive naturals, for example, 41873570 + ... + 41873811.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400301).

Almost surely, 210133433101 is an apocalyptic number.

10133433101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133433101 is a deficient number, since it is larger than the sum of its proper divisors (1004968705).

10133433101 is an equidigital number, since it uses as much as digits as its factorization.

10133433101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83747403 (or 83747392 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 10133433101 in words is "ten billion, one hundred thirty-three million, four hundred thirty-three thousand, one hundred one".

Divisors: 1 11 121 83747381 921221191 10133433101