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1001411031 = 33779114199
BaseRepresentation
bin111011101100000…
…101000111010111
32120210022221200110
4323230011013113
54022330123111
6243211414103
733546565455
oct7354050727
92523287613
101001411031
114742a7a25
1223b454333
1312c61250a
1496dd79d5
155cdae5a6
hex3bb051d7

1001411031 has 16 divisors (see below), whose sum is σ = 1388672000. Its totient is φ = 641335968.

The previous prime is 1001411023. The next prime is 1001411039. The reversal of 1001411031 is 1301141001.

It is an interprime number because it is at equal distance from previous prime (1001411023) and next prime (1001411039).

It is not a de Polignac number, because 1001411031 - 23 = 1001411023 is a prime.

It is a super-2 number, since 2×10014110312 = 2005648106016965922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001410998 and 1001411016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001411039) 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 15 ways as a sum of consecutive naturals, for example, 48331 + ... + 65868.

It is an arithmetic number, because the mean of its divisors is an integer number (86792000).

Almost surely, 21001411031 is an apocalyptic number.

1001411031 is a deficient number, since it is larger than the sum of its proper divisors (387260969).

1001411031 is a wasteful number, since it uses less digits than its factorization.

1001411031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114318.

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

The square root of 1001411031 is about 31645.0790961249. The cubic root of 1001411031 is about 1000.4701226168.

Adding to 1001411031 its reverse (1301141001), we get a palindrome (2302552032).

The spelling of 1001411031 in words is "one billion, one million, four hundred eleven thousand, thirty-one".

Divisors: 1 3 37 79 111 237 2923 8769 114199 342597 4225363 9021721 12676089 27065163 333803677 1001411031