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1012365013 = 11279105907
BaseRepresentation
bin111100010101110…
…111011011010101
32121112221110201111
4330111313123111
54033131140023
6244242255021
734041650332
oct7425673325
92545843644
101012365013
1147a4a9900
12243057471
1313197936a
1498649989
155dd2500d
hex3c5776d5

1012365013 has 12 divisors (see below), whose sum is σ = 1126861120. Its totient is φ = 908673480.

The previous prime is 1012364993. The next prime is 1012365017. The reversal of 1012365013 is 3105632101.

It is a happy number.

It is not a de Polignac number, because 1012365013 - 221 = 1010267861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012365017) 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 11 ways as a sum of consecutive naturals, for example, 43395 + ... + 62512.

Almost surely, 21012365013 is an apocalyptic number.

It is an amenable number.

1012365013 is a deficient number, since it is larger than the sum of its proper divisors (114496107).

1012365013 is a wasteful number, since it uses less digits than its factorization.

1012365013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106008 (or 105997 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1012365013 is about 31817.6839666246. The cubic root of 1012365013 is about 1004.1047985742.

Adding to 1012365013 its reverse (3105632101), we get a palindrome (4117997114).

It can be divided in two parts, 1012 and 365013, that added together give a square (366025 = 6052).

The spelling of 1012365013 in words is "one billion, twelve million, three hundred sixty-five thousand, thirteen".

Divisors: 1 11 79 121 869 9559 105907 1164977 8366653 12814747 92033183 1012365013