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1014343121 = 114292389
BaseRepresentation
bin111100011101011…
…010010111010001
32121200122222011202
4330131122113101
54034132434441
6244352520545
734064526401
oct7435322721
92550588152
101014343121
11480630000
12243850155
131321bc83c
1498a02801
155e0b619b
hex3c75a5d1

1014343121 has 20 divisors (see below), whose sum is σ = 1154728500. Its totient is φ = 889959840.

The previous prime is 1014343117. The next prime is 1014343129. The reversal of 1014343121 is 1213434101.

It can be written as a sum of positive squares in 2 ways, for example, as 374809600 + 639533521 = 19360^2 + 25289^2 .

It is not a de Polignac number, because 1014343121 - 22 = 1014343117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1014343093 and 1014343102.

It is not an unprimeable number, because it can be changed into a prime (1014343129) 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 19 ways as a sum of consecutive naturals, for example, 423395 + ... + 425783.

It is an arithmetic number, because the mean of its divisors is an integer number (57736425).

Almost surely, 21014343121 is an apocalyptic number.

1014343121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014343121 is a deficient number, since it is larger than the sum of its proper divisors (140385379).

1014343121 is an frugal number, since it uses more digits than its factorization.

1014343121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1014343121 is about 31848.7538374738. The cubic root of 1014343121 is about 1004.7583624076.

Adding to 1014343121 its reverse (1213434101), we get a palindrome (2227777222).

The spelling of 1014343121 in words is "one billion, fourteen million, three hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 11 29 121 319 1331 2389 3509 14641 26279 38599 69281 289069 424589 762091 3179759 8383001 34977349 92213011 1014343121