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1014331021 = 11241204461
BaseRepresentation
bin111100011101010…
…111011010001101
32121200122100120121
4330131113122031
54034132043041
6244352344541
734064446204
oct7435273215
92550570517
101014331021
11480621a00
12243845151
131321b7192
14989dc23b
155e0b27d1
hex3c75768d

1014331021 has 12 divisors (see below), whose sum is σ = 1142124732. Its totient is φ = 899624000.

The previous prime is 1014330991. The next prime is 1014331051. The reversal of 1014331021 is 1201334101.

It is an interprime number because it is at equal distance from previous prime (1014330991) and next prime (1014331051).

It can be written as a sum of positive squares in 2 ways, for example, as 242269225 + 772061796 = 15565^2 + 27786^2 .

It is not a de Polignac number, because 1014331021 - 215 = 1014298253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1014330986 and 1014331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014331051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97270 + ... + 107191.

It is an arithmetic number, because the mean of its divisors is an integer number (95177061).

Almost surely, 21014331021 is an apocalyptic number.

1014331021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014331021 is a deficient number, since it is larger than the sum of its proper divisors (127793711).

1014331021 is a wasteful number, since it uses less digits than its factorization.

1014331021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204524 (or 204513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1014331021 is about 31848.5638765706. The cubic root of 1014331021 is about 1004.7543671702.

Adding to 1014331021 its reverse (1201334101), we get a palindrome (2215665122).

The spelling of 1014331021 in words is "one billion, fourteen million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 11 41 121 451 4961 204461 2249071 8382901 24739781 92211911 1014331021