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1014001131 = 311132363639
BaseRepresentation
bin111100011100000…
…110110111101011
32121200000121001110
4330130012313223
54034041014011
6244341321403
734061603343
oct7434066753
92550017043
101014001131
11480417070
12243706263
131320ccc90
1498953d23
155e049ba6
hex3c706deb

1014001131 has 16 divisors (see below), whose sum is σ = 1588366080. Its totient is φ = 567273120.

The previous prime is 1014001129. The next prime is 1014001133. The reversal of 1014001131 is 1311004101.

It is an interprime number because it is at equal distance from previous prime (1014001129) and next prime (1014001133).

It is not a de Polignac number, because 1014001131 - 21 = 1014001129 is a prime.

It is a super-2 number, since 2×10140011312 = 2056396587338558322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1014001133) 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, 1181391 + ... + 1182248.

It is an arithmetic number, because the mean of its divisors is an integer number (99272880).

Almost surely, 21014001131 is an apocalyptic number.

1014001131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014001131 is a deficient number, since it is larger than the sum of its proper divisors (574364949).

1014001131 is a wasteful number, since it uses less digits than its factorization.

1014001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363666.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1014001131 is about 31843.3844149770. The cubic root of 1014001131 is about 1004.6454302285.

Adding to 1014001131 its reverse (1311004101), we get a palindrome (2325005232).

The spelling of 1014001131 in words is "one billion, fourteen million, one thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 2363639 7090917 26000029 30727307 78000087 92181921 338000377 1014001131