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115241142511 = 11231014509887
BaseRepresentation
bin110101101010011101…
…0000100100011101111
3102000110100112121021101
41223110322010203233
53342003213030021
6124535133343531
711216532356215
oct1532472044357
9360410477241
10115241142511
1144967691050
121a402037ba7
13ab372b9671
1458132d6cb5
152ee72d3a91
hex1ad4e848ef

115241142511 has 16 divisors (see below), whose sum is σ = 132482469888. Its totient is φ = 99217492000.

The previous prime is 115241142509. The next prime is 115241142521.

115241142511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115241142511 - 21 = 115241142509 is a prime.

It is a super-2 number, since 2×1152411425112 (a number of 23 digits) contains 22 as substring.

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 115241142511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115241142521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229391 + ... + 2280496.

It is an arithmetic number, because the mean of its divisors is an integer number (8280154368).

Almost surely, 2115241142511 is an apocalyptic number.

115241142511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115241142511 is a deficient number, since it is larger than the sum of its proper divisors (17241327377).

115241142511 is a wasteful number, since it uses less digits than its factorization.

115241142511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510022.

The product of its digits is 1600, while the sum is 28.

It can be divided in two parts, 115241 and 142511, that added together give a palindrome (257752).

The spelling of 115241142511 in words is "one hundred fifteen billion, two hundred forty-one million, one hundred forty-two thousand, five hundred eleven".

Divisors: 1 11 23 101 253 1111 2323 25553 4509887 49608757 103727401 455498587 1141001411 5010484457 10476467501 115241142511