Search a number
-
+
10011311211231 = 3211101124355669
BaseRepresentation
bin1001000110101111000010…
…1001100000001011011111
31022110001221111021022121200
42101223300221200023133
52303011131132224411
633143044411330543
72052202424142441
oct221536051401337
938401844238550
1010011311211231
11320a856203480
121158313a50a53
135780a76a7915
1426879b490491
1512563cea7e56
hex91af0a602df

10011311211231 has 12 divisors (see below), whose sum is σ = 15775399484520. Its totient is φ = 6067461340080.

The previous prime is 10011311211199. The next prime is 10011311211259. The reversal of 10011311211231 is 13211211311001.

10011311211231 is a `hidden beast` number, since 100 + 1 + 1 + 311 + 21 + 1 + 231 = 666.

It is not a de Polignac number, because 10011311211231 - 25 = 10011311211199 is a prime.

It is a super-2 number, since 2×100113112112312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011311211131) 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, 50562177736 + ... + 50562177933.

It is an arithmetic number, because the mean of its divisors is an integer number (1314616623710).

Almost surely, 210011311211231 is an apocalyptic number.

10011311211231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011311211231 is a deficient number, since it is larger than the sum of its proper divisors (5764088273289).

10011311211231 is a wasteful number, since it uses less digits than its factorization.

10011311211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101124355686 (or 101124355683 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10011311211231 its reverse (13211211311001), we get a palindrome (23222522522232).

The spelling of 10011311211231 in words is "ten trillion, eleven billion, three hundred eleven million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 101124355669 303373067007 910119201021 1112367912359 3337103737077 10011311211231