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1213763013 = 322918125693
BaseRepresentation
bin100100001011000…
…1000110111000101
310010120220112211200
41020112020313011
54441210404023
6320235053113
742035546451
oct11026106705
93116815750
101213763013
11573157131
1229a5a1199
13164602a88
14b72b3661
1571858743
hex48588dc5

1213763013 has 24 divisors (see below), whose sum is σ = 1823760120. Its totient is φ = 776926080.

The previous prime is 1213763009. The next prime is 1213763041. The reversal of 1213763013 is 3103673121.

1213763013 is a `hidden beast` number, since 1 + 2 + 13 + 7 + 630 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98069409 + 1115693604 = 9903^2 + 33402^2 .

It is not a de Polignac number, because 1213763013 - 22 = 1213763009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213763063) 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 23 ways as a sum of consecutive naturals, for example, 34395 + ... + 60087.

It is an arithmetic number, because the mean of its divisors is an integer number (75990005).

Almost surely, 21213763013 is an apocalyptic number.

It is an amenable number.

1213763013 is a deficient number, since it is larger than the sum of its proper divisors (609997107).

1213763013 is a wasteful number, since it uses less digits than its factorization.

1213763013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25909 (or 25906 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1213763013 is about 34839.1017823365. The cubic root of 1213763013 is about 1066.7057423945.

The spelling of 1213763013 in words is "one billion, two hundred thirteen million, seven hundred sixty-three thousand, thirteen".

Divisors: 1 3 9 29 87 181 261 543 1629 5249 15747 25693 47241 77079 231237 745097 2235291 4650433 6705873 13951299 41853897 134862557 404587671 1213763013