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1002978013 is a prime number
BaseRepresentation
bin111011110010000…
…011101011011101
32120220021120011211
4323302003223131
54023230244023
6243305144421
733566113102
oct7362035335
92526246154
101002978013
11475178254
1223ba8b111
1312ca4081b
14972c4aa9
155d0bda0d
hex3bc83add

1002978013 has 2 divisors, whose sum is σ = 1002978014. Its totient is φ = 1002978012.

The previous prime is 1002978001. The next prime is 1002978017. The reversal of 1002978013 is 3108792001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991809049 + 11168964 = 31493^2 + 3342^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002978013 - 29 = 1002977501 is a prime.

It is a super-2 number, since 2×10029780132 = 2011929789122856338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002978017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501489006 + 501489007.

It is an arithmetic number, because the mean of its divisors is an integer number (501489007).

Almost surely, 21002978013 is an apocalyptic number.

It is an amenable number.

1002978013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002978013 is an equidigital number, since it uses as much as digits as its factorization.

1002978013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1002978013 is about 31669.8281176264. The cubic root of 1002978013 is about 1000.9916872313.

The spelling of 1002978013 in words is "one billion, two million, nine hundred seventy-eight thousand, thirteen".