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1014123257 = 7233296217
BaseRepresentation
bin111100011100100…
…100101011111001
32121200020210120122
4330130210223321
54034103421012
6244344103025
734062622400
oct7434445371
92550223518
101014123257
1148049a8a4
12243764a75
13132143744
1498986637
155e070e72
hex3c724af9

1014123257 has 12 divisors (see below), whose sum is σ = 1180238580. Its totient is φ = 868847616.

The previous prime is 1014123251. The next prime is 1014123281. The reversal of 1014123257 is 7523214101.

It can be written as a sum of positive squares in 2 ways, for example, as 575472121 + 438651136 = 23989^2 + 20944^2 .

It is not a de Polignac number, because 1014123257 - 28 = 1014123001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014123251) 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 11 ways as a sum of consecutive naturals, for example, 160013 + ... + 166229.

It is an arithmetic number, because the mean of its divisors is an integer number (98353215).

Almost surely, 21014123257 is an apocalyptic number.

It is an amenable number.

1014123257 is a deficient number, since it is larger than the sum of its proper divisors (166115323).

1014123257 is an equidigital number, since it uses as much as digits as its factorization.

1014123257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1014123257 is about 31845.3019611999. The cubic root of 1014123257 is about 1004.6857616767.

Adding to 1014123257 its reverse (7523214101), we get a palindrome (8537337358).

The spelling of 1014123257 in words is "one billion, fourteen million, one hundred twenty-three thousand, two hundred fifty-seven".

Divisors: 1 7 49 3329 6217 23303 43519 163121 304633 20696393 144874751 1014123257