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1027268270831 = 11175493413213
BaseRepresentation
bin11101111001011011111…
…01011101101011101111
310122012120002111002220202
432330231331131223233
5113312321134131311
62103530500104115
7134134444141625
oct16745575355357
93565502432822
101027268270831
11366731181410
1214711209503b
1375b4271813a
1437a11b5d515
151bac563de3b
hexef2df5daef

1027268270831 has 8 divisors (see below), whose sum is σ = 1186577254224. Its totient is φ = 878946113920.

The previous prime is 1027268270783. The next prime is 1027268270863. The reversal of 1027268270831 is 1380728627201.

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 1027268270831 - 214 = 1027268254447 is a prime.

It is a super-2 number, since 2×10272682708312 (a number of 25 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 (1027268270891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2746706420 + ... + 2746706793.

It is an arithmetic number, because the mean of its divisors is an integer number (148322156778).

Almost surely, 21027268270831 is an apocalyptic number.

1027268270831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1027268270831 is a deficient number, since it is larger than the sum of its proper divisors (159308983393).

1027268270831 is a wasteful number, since it uses less digits than its factorization.

1027268270831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493413241.

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 1027268270831 in words is "one trillion, twenty-seven billion, two hundred sixty-eight million, two hundred seventy thousand, eight hundred thirty-one".

Divisors: 1 11 17 187 5493413213 60427545343 93388024621 1027268270831