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1011081731 = 119729769
BaseRepresentation
bin111100010000111…
…110001000000011
32121110112021101112
4330100332020003
54032314103411
6244154553535
734025024102
oct7420761003
92543467345
101011081731
11479802740
122427388ab
1313161a21a
14983d4039
155db6eb8b
hex3c43e203

1011081731 has 12 divisors (see below), whose sum is σ = 1114600680. Its totient is φ = 909596160.

The previous prime is 1011081707. The next prime is 1011081733. The reversal of 1011081731 is 1371801101.

It is not a de Polignac number, because 1011081731 - 218 = 1010819587 is a prime.

It is a super-2 number, since 2×10110817312 = 2044572533523912722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011081697 and 1011081706.

It is not an unprimeable number, because it can be changed into a prime (1011081733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98615 + ... + 108383.

It is an arithmetic number, because the mean of its divisors is an integer number (92883390).

Almost surely, 21011081731 is an apocalyptic number.

1011081731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011081731 is a deficient number, since it is larger than the sum of its proper divisors (103518949).

1011081731 is an frugal number, since it uses more digits than its factorization.

1011081731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 23.

The square root of 1011081731 is about 31797.5113963341. The cubic root of 1011081731 is about 1003.6803487497.

Adding to 1011081731 its reverse (1371801101), we get a palindrome (2382882832).

The spelling of 1011081731 in words is "one billion, eleven million, eighty-one thousand, seven hundred thirty-one".

Divisors: 1 11 97 1067 9409 9769 103499 107459 947593 10423523 91916521 1011081731