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101433320031 = 3535087125407
BaseRepresentation
bin101111001110111100…
…1011010001001011111
3100200211001200112200210
41132131321122021133
53130213412220111
6114333044023503
710220416665051
oct1363571321137
9320731615623
10101433320031
113a02151270a
12177a9991b93
1397467563c4
144ca35678d1
152989eb20a6
hex179de5a25f

101433320031 has 16 divisors (see below), whose sum is σ = 137824395264. Its totient is φ = 66332751264.

The previous prime is 101433319987. The next prime is 101433320033. The reversal of 101433320031 is 130023334101.

It is not a de Polignac number, because 101433320031 - 27 = 101433319903 is a prime.

It is a super-2 number, since 2×1014333200312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101433320033) 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 15 ways as a sum of consecutive naturals, for example, 746130 + ... + 871536.

It is an arithmetic number, because the mean of its divisors is an integer number (8614024704).

Almost surely, 2101433320031 is an apocalyptic number.

101433320031 is a deficient number, since it is larger than the sum of its proper divisors (36391075233).

101433320031 is a wasteful number, since it uses less digits than its factorization.

101433320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130550.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101433320031 its reverse (130023334101), we get a palindrome (231456654132).

The spelling of 101433320031 in words is "one hundred one billion, four hundred thirty-three million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 53 159 5087 15261 125407 269611 376221 808833 6646571 19939713 637945409 1913836227 33811106677 101433320031