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11121211012131 = 331123404104993
BaseRepresentation
bin1010000111010101101111…
…0101001111010000100011
31110101011210022120002011000
42201311123311033100203
52424202220004342011
635353002552123043
72225323655610333
oct241653365172043
943334708502130
1011121211012131
1135a852a761400
1212b7447096483
1362895848a03c
142a63ab6770c3
1514444cb23356
hexa1d5bd4f423

11121211012131 has 24 divisors (see below), whose sum is σ = 18109838568080. Its totient is φ = 6740127884160.

The previous prime is 11121211011997. The next prime is 11121211012141. The reversal of 11121211012131 is 13121011212111.

It is not a de Polignac number, because 11121211012131 - 219 = 11121210487843 is a prime.

It is a super-2 number, since 2×111212110121312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121211012141) 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 23 ways as a sum of consecutive naturals, for example, 1702049230 + ... + 1702055763.

Almost surely, 211121211012131 is an apocalyptic number.

11121211012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121211012131 is a deficient number, since it is larger than the sum of its proper divisors (6988627555949).

11121211012131 is a wasteful number, since it uses less digits than its factorization.

11121211012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404105024 (or 3404105007 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11121211012131 its reverse (13121011212111), we get a palindrome (24242222224242).

The spelling of 11121211012131 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 3404104993 10212314979 30636944937 37445154923 91910834811 112335464769 337006394307 411896704153 1011019182921 1235690112459 3707070337377 11121211012131