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1001010131 = 11214395749
BaseRepresentation
bin111011101010100…
…011001111010011
32120202120120202022
4323222203033103
54022224311011
6243155042055
733543305612
oct7352431723
92522516668
101001010131
11474053800
1223b2a032b
1312c501bb4
1496d31879
155cd308db
hex3baa33d3

1001010131 has 12 divisors (see below), whose sum is σ = 1101240000. Its totient is φ = 909218640.

The previous prime is 1001010113. The next prime is 1001010137. The reversal of 1001010131 is 1310101001.

It is a de Polignac number, because none of the positive numbers 2k-1001010131 is a prime.

It is a super-2 number, since 2×10010101312 = 2004042564729274322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001010137) 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, 171245 + ... + 176993.

It is an arithmetic number, because the mean of its divisors is an integer number (91770000).

Almost surely, 21001010131 is an apocalyptic number.

1001010131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001010131 is a deficient number, since it is larger than the sum of its proper divisors (100229869).

1001010131 is a wasteful number, since it uses less digits than its factorization.

1001010131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1001010131 is about 31638.7441438500. The cubic root of 1001010131 is about 1000.3365970231.

Adding to 1001010131 its reverse (1310101001), we get a palindrome (2311111132).

The spelling of 1001010131 in words is "one billion, one million, ten thousand, one hundred thirty-one".

Divisors: 1 11 121 1439 5749 15829 63239 174119 695629 8272811 91000921 1001010131