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1023131021 = 11193587821
BaseRepresentation
bin111100111110111…
…011110110001101
32122022012102220112
4330332323312031
54043410143041
6245305125405
734232320163
oct7476736615
92568172815
101023131021
11485592530
12246789865
13133c78793
1499c4d233
155ec4edeb
hex3cfbbd8d

1023131021 has 16 divisors (see below), whose sum is σ = 1125206208. Its totient is φ = 922598400.

The previous prime is 1023131017. The next prime is 1023131023. The reversal of 1023131021 is 1201313201.

It is a cyclic number.

It is not a de Polignac number, because 1023131021 - 22 = 1023131017 is a prime.

It is a super-2 number, since 2×10231310212 = 2093594172265004882, 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 = 1023130987 and 1023131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023131023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245791 + ... + 1246611.

It is an arithmetic number, because the mean of its divisors is an integer number (70325388).

Almost surely, 21023131021 is an apocalyptic number.

1023131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023131021 is a deficient number, since it is larger than the sum of its proper divisors (102075187).

1023131021 is a wasteful number, since it uses less digits than its factorization.

1023131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1023131021 is about 31986.4193213307. The cubic root of 1023131021 is about 1007.6516433587.

Adding to 1023131021 its reverse (1201313201), we get a palindrome (2224444222).

The spelling of 1023131021 in words is "one billion, twenty-three million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 11 193 587 821 2123 6457 9031 113291 158453 481927 1246201 1742983 5301197 93011911 1023131021