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1012331001 = 31119284977
BaseRepresentation
bin111100010101101…
…111000111111001
32121112212202001210
4330111233013321
54033124043001
6244241433333
734041446223
oct7425570771
92545782053
101012331001
1147a4862a0
1224303b849
13131966a36
149863b413
155dd19dd6
hex3c56f1f9

1012331001 has 24 divisors (see below), whose sum is σ = 1554077664. Its totient is φ = 581235840.

The previous prime is 1012330961. The next prime is 1012331081. The reversal of 1012331001 is 1001332101.

It is not a de Polignac number, because 1012331001 - 26 = 1012330937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012331081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30576 + ... + 54401.

It is an arithmetic number, because the mean of its divisors is an integer number (64753236).

Almost surely, 21012331001 is an apocalyptic number.

1012331001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012331001 is a deficient number, since it is larger than the sum of its proper divisors (541746663).

1012331001 is a wasteful number, since it uses less digits than its factorization.

1012331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85029 (or 85010 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1012331001 is about 31817.1494794867. The cubic root of 1012331001 is about 1004.0935536200.

Adding to 1012331001 its reverse (1001332101), we get a palindrome (2013663102).

The spelling of 1012331001 in words is "one billion, twelve million, three hundred thirty-one thousand, one".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 84977 254931 934747 1614563 2804241 4843689 17760193 30676697 53280579 92030091 337443667 1012331001