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105216122881 = 281374434601
BaseRepresentation
bin110000111111101011…
…1101010000000000001
3101001120200200211200001
41201333113222000001
53210440311413011
6120200254400001
710413232200562
oct1417727520001
9331520624601
10105216122881
1140692838461
1218484800001
139bca37c09c
145141b00169
152b0c1327c1
hex187f5ea001

105216122881 has 4 divisors (see below), whose sum is σ = 105590557764. Its totient is φ = 104841688000.

The previous prime is 105216122861. The next prime is 105216122887. The reversal of 105216122881 is 188221612501.

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

It can be written as a sum of positive squares in 2 ways, for example, as 71888334400 + 33327788481 = 268120^2 + 182559^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105216122881 is a prime.

It is a super-2 number, since 2×1052161228812 (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 105216122881.

It is not an unprimeable number, because it can be changed into a prime (105216122887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187217020 + ... + 187217581.

It is an arithmetic number, because the mean of its divisors is an integer number (26397639441).

Almost surely, 2105216122881 is an apocalyptic number.

It is an amenable number.

105216122881 is a deficient number, since it is larger than the sum of its proper divisors (374434883).

105216122881 is an equidigital number, since it uses as much as digits as its factorization.

105216122881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374434882.

The product of its (nonzero) digits is 15360, while the sum is 37.

The spelling of 105216122881 in words is "one hundred five billion, two hundred sixteen million, one hundred twenty-two thousand, eight hundred eighty-one".

Divisors: 1 281 374434601 105216122881