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1012014101 = 72113182773
BaseRepresentation
bin111100010100100…
…001110000010101
32121112021122100202
4330110201300111
54033033422401
6244230550245
734035656300
oct7424416025
92545248322
101012014101
1147a28a19a
12242b08385
13131885717
1498597b37
155dca606b
hex3c521c15

1012014101 has 12 divisors (see below), whose sum is σ = 1187665452. Its totient is φ = 859759488.

The previous prime is 1012014071. The next prime is 1012014139. The reversal of 1012014101 is 1014102101.

It can be written as a sum of positive squares in 2 ways, for example, as 426422500 + 585591601 = 20650^2 + 24199^2 .

It is not a de Polignac number, because 1012014101 - 222 = 1007819797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012014001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85850 + ... + 96923.

It is an arithmetic number, because the mean of its divisors is an integer number (98972121).

Almost surely, 21012014101 is an apocalyptic number.

It is an amenable number.

1012014101 is a deficient number, since it is larger than the sum of its proper divisors (175651351).

1012014101 is a wasteful number, since it uses less digits than its factorization.

1012014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182900 (or 182893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1012014101 is about 31812.1690709703. The cubic root of 1012014101 is about 1003.9887689018.

Adding to 1012014101 its reverse (1014102101), we get a palindrome (2026116202).

The spelling of 1012014101 in words is "one billion, twelve million, fourteen thousand, one hundred one".

Divisors: 1 7 49 113 791 5537 182773 1279411 8955877 20653349 144573443 1012014101