Search a number
-
+
100131020011 = 1122333551627
BaseRepresentation
bin101110101000001000…
…1100001110011101011
3100120110022011211220201
41131100101201303223
53120032020120021
6113555523133031
710143224425021
oct1352021416353
9316408154821
10100131020011
1139513394400
12174a5814177
1395999c4589
144bbc608711
1529109ba591
hex1750461ceb

100131020011 has 12 divisors (see below), whose sum is σ = 110533766616. Its totient is φ = 90637495520.

The previous prime is 100131019981. The next prime is 100131020107. The reversal of 100131020011 is 110020131001.

It is not a de Polignac number, because 100131020011 - 27 = 100131019883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100131020011.

It is not an unprimeable number, because it can be changed into a prime (100131020111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747621 + ... + 1804006.

It is an arithmetic number, because the mean of its divisors is an integer number (9211147218).

Almost surely, 2100131020011 is an apocalyptic number.

100131020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100131020011 is a deficient number, since it is larger than the sum of its proper divisors (10402746605).

100131020011 is a wasteful number, since it uses less digits than its factorization.

100131020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551882 (or 3551871 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100131020011 its reverse (110020131001), we get a palindrome (210151151012).

The spelling of 100131020011 in words is "one hundred billion, one hundred thirty-one million, twenty thousand, eleven".

Divisors: 1 11 121 233 2563 28193 3551627 39067897 429746867 827529091 9102820001 100131020011