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11231011013211 = 3211113444555689
BaseRepresentation
bin1010001101101110110001…
…1011000000001001011011
31110202200012110122001120200
42203123230123000021123
52433002102304410321
635515242155153243
72236261631326503
oct243335433001133
943680173561520
1011231011013211
113640054a1a350
12131478aa45823
13636106400292
142ab826078a03
151472273b1d26
hexa36ec6c025b

11231011013211 has 12 divisors (see below), whose sum is σ = 17697350687640. Its totient is φ = 6806673341280.

The previous prime is 11231011013207. The next prime is 11231011013213.

11231011013211 is a `hidden beast` number, since 1 + 1 + 231 + 0 + 110 + 1 + 321 + 1 = 666.

11231011013211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11231011013211 - 22 = 11231011013207 is a prime.

It is a super-2 number, since 2×112310110132112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11231011013213) 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, 56722277746 + ... + 56722277943.

It is an arithmetic number, because the mean of its divisors is an integer number (1474779223970).

Almost surely, 211231011013211 is an apocalyptic number.

11231011013211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11231011013211 is a deficient number, since it is larger than the sum of its proper divisors (6466339674429).

11231011013211 is a wasteful number, since it uses less digits than its factorization.

11231011013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113444555706 (or 113444555703 counting only the distinct ones).

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

It can be divided in two parts, 1123101 and 1013211, that added together give a palindrome (2136312).

The spelling of 11231011013211 in words is "eleven trillion, two hundred thirty-one billion, eleven million, thirteen thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 113444555689 340333667067 1021001001201 1247890112579 3743670337737 11231011013211