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100032311131 = 294380218373
BaseRepresentation
bin101110100101001100…
…0111110111101011011
3100120012102102220210021
41131022120332331123
53114331232424011
6113542035331311
710140615421024
oct1351230767533
9316172386707
10100032311131
11394726a4a15
1217478750b37
13958241365c
144bad471c4b
152906ebd471
hex174a63ef5b

100032311131 has 8 divisors (see below), whose sum is σ = 105888253680. Its totient is φ = 94336805472.

The previous prime is 100032311087. The next prime is 100032311153. The reversal of 100032311131 is 131113230001.

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

It is a cyclic number.

It is not a de Polignac number, because 100032311131 - 27 = 100032311003 is a prime.

It is a super-2 number, since 2×1000323111312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100032711131) 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, 40107940 + ... + 40110433.

It is an arithmetic number, because the mean of its divisors is an integer number (13236031710).

Almost surely, 2100032311131 is an apocalyptic number.

100032311131 is a deficient number, since it is larger than the sum of its proper divisors (5855942549).

100032311131 is an equidigital number, since it uses as much as digits as its factorization.

100032311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80218445.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100032311131 its reverse (131113230001), we get a palindrome (231145541132).

The spelling of 100032311131 in words is "one hundred billion, thirty-two million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 29 43 1247 80218373 2326332817 3449390039 100032311131