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101330310131 = 4191663145423
BaseRepresentation
bin101111001011111000…
…0011101001111110011
3100200112212212002200022
41132113300131033303
53130011024411011
6114314524114055
710215026265461
oct1362760351763
9320485762608
10101330310131
1139a79355866
121777b39592b
13972b2ca8bb
144c939d1831
152980e158db
hex1797c1d3f3

101330310131 has 8 divisors (see below), whose sum is σ = 101633925120. Its totient is φ = 101026990152.

The previous prime is 101330310119. The next prime is 101330310149. The reversal of 101330310131 is 131013033101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101330310131 is a prime.

It is a super-4 number, since 4×1013303101314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101330310331) 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 7 ways as a sum of consecutive naturals, for example, 624086 + ... + 769508.

It is an arithmetic number, because the mean of its divisors is an integer number (12704240640).

Almost surely, 2101330310131 is an apocalyptic number.

101330310131 is a deficient number, since it is larger than the sum of its proper divisors (303614989).

101330310131 is a wasteful number, since it uses less digits than its factorization.

101330310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147505.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 101330310131 its reverse (131013033101), we get a palindrome (232343343232).

The spelling of 101330310131 in words is "one hundred one billion, three hundred thirty million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 419 1663 145423 696797 60932237 241838449 101330310131