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11131013413998 = 233206129878037
BaseRepresentation
bin1010000111111010010000…
…0110011011110001101110
31110102010002110111200121000
42201332210012123301232
52424332303413221443
635401303355421130
72226121613630412
oct241764406336156
943363073450530
1011131013413998
1136016aa983a75
1212b9321a547a6
1362985b25152a
142a6a5b480d42
1514482349d8d3
hexa1fa419bc6e

11131013413998 has 16 divisors (see below), whose sum is σ = 24735585364560. Its totient is φ = 3710337804648.

The previous prime is 11131013413987. The next prime is 11131013413999. The reversal of 11131013413998 is 89931431013111.

11131013413998 is a `hidden beast` number, since 1 + 1 + 131 + 0 + 13 + 413 + 9 + 98 = 666.

It is a super-2 number, since 2×111310134139982 (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 (11131013413999) 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, 103064938965 + ... + 103064939072.

It is an arithmetic number, because the mean of its divisors is an integer number (1545974085285).

Almost surely, 211131013413998 is an apocalyptic number.

11131013413998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11131013413998 is an abundant number, since it is smaller than the sum of its proper divisors (13604571950562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131013413998 is a wasteful number, since it uses less digits than its factorization.

11131013413998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206129878048 (or 206129878042 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 11131013413998 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, four hundred thirteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 206129878037 412259756074 618389634111 1236779268222 1855168902333 3710337804666 5565506706999 11131013413998