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1014110031 = 311411375471
BaseRepresentation
bin111100011100100…
…001011101001111
32121200020010102210
4330130201131033
54034103010111
6244343521503
734062536004
oct7434413517
92550203383
101014110031
11480490970
12243759293
1313213a70c
14989818ab
155e06c0a6
hex3c72174f

1014110031 has 32 divisors (see below), whose sum is σ = 1522354176. Its totient is φ = 595136000.

The previous prime is 1014110017. The next prime is 1014110039. The reversal of 1014110031 is 1300114101.

It is a cyclic number.

It is not a de Polignac number, because 1014110031 - 222 = 1009915727 is a prime.

It is a super-2 number, since 2×10141100312 = 2056838309949641922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014109989 and 1014110016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014110039) 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 31 ways as a sum of consecutive naturals, for example, 182626 + ... + 188096.

It is an arithmetic number, because the mean of its divisors is an integer number (47573568).

Almost surely, 21014110031 is an apocalyptic number.

1014110031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014110031 is a deficient number, since it is larger than the sum of its proper divisors (508244145).

1014110031 is a wasteful number, since it uses less digits than its factorization.

1014110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1014110031 is about 31845.0943003785. The cubic root of 1014110031 is about 1004.6813940184.

Adding to 1014110031 its reverse (1300114101), we get a palindrome (2314224132).

The spelling of 1014110031 in words is "one billion, fourteen million, one hundred ten thousand, thirty-one".

Divisors: 1 3 11 33 41 123 137 411 451 1353 1507 4521 5471 5617 16413 16851 60181 61787 180543 185361 224311 672933 749527 2248581 2467421 7402263 8244797 24734391 30730607 92191821 338036677 1014110031