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106541272511 = 461231109051
BaseRepresentation
bin110001100111001011…
…0101100110110111111
3101012000001012102012222
41203032112230312333
53221144031210021
6120535553115555
710461122605562
oct1431626546677
9335001172188
10106541272511
1141202852a43
1218794558bbb
13a07ba813ab
145229aca4d9
152b8863e6ab
hex18ce5acdbf

106541272511 has 4 divisors (see below), whose sum is σ = 106772382024. Its totient is φ = 106310163000.

The previous prime is 106541272499. The next prime is 106541272553. The reversal of 106541272511 is 115272145601.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 106541272511 - 226 = 106474163647 is a prime.

It is a super-2 number, since 2×1065412725112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541272111) 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 3 ways as a sum of consecutive naturals, for example, 115554065 + ... + 115554986.

It is an arithmetic number, because the mean of its divisors is an integer number (26693095506).

Almost surely, 2106541272511 is an apocalyptic number.

106541272511 is a deficient number, since it is larger than the sum of its proper divisors (231109513).

106541272511 is an equidigital number, since it uses as much as digits as its factorization.

106541272511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231109512.

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 106541272511 in words is "one hundred six billion, five hundred forty-one million, two hundred seventy-two thousand, five hundred eleven".

Divisors: 1 461 231109051 106541272511