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31101210113 = 1731228914629
BaseRepresentation
bin11100111101110001…
…101100111000000001
32222021111102011122212
4130331301230320001
51002143402210423
622142050511505
72150500631651
oct347561547001
988244364585
1031101210113
111220a905536
12603b895595
132c1857a80c
1417107c0361
15c2064d578
hex73dc6ce01

31101210113 has 8 divisors (see below), whose sum is σ = 31285669800. Its totient is φ = 30916804608.

The previous prime is 31101210061. The next prime is 31101210187.

It is a happy number.

31101210113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10597261249 + 20503948864 = 102943^2 + 143192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31101210113 - 226 = 31034101249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31101210193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118683 + ... + 2133311.

It is an arithmetic number, because the mean of its divisors is an integer number (3910708725).

Almost surely, 231101210113 is an apocalyptic number.

It is an amenable number.

31101210113 is a deficient number, since it is larger than the sum of its proper divisors (184459687).

31101210113 is a wasteful number, since it uses less digits than its factorization.

31101210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27091.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 31101210113 in words is "thirty-one billion, one hundred one million, two hundred ten thousand, one hundred thirteen".

Divisors: 1 173 12289 14629 2125997 2530817 179775781 31101210113