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10007287370077 is a prime number
BaseRepresentation
bin1001000110100000000011…
…0011110001000101011101
31022102200120001201000020211
42101220000303301011131
52302424411031320302
633141141230412421
72052000624101224
oct221500063610535
938380501630224
1010007287370077
113209080916018
121157590361111
135778b5b5961a
142684d8cd1cbb
151254a4ac3ad7
hex91a00cf115d

10007287370077 has 2 divisors, whose sum is σ = 10007287370078. Its totient is φ = 10007287370076.

The previous prime is 10007287370039. The next prime is 10007287370081. The reversal of 10007287370077 is 77007378270001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8046464083641 + 1960823286436 = 2836629^2 + 1400294^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007287370077 - 27 = 10007287369949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10007287370077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007287370777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003643685038 + 5003643685039.

It is an arithmetic number, because the mean of its divisors is an integer number (5003643685039).

Almost surely, 210007287370077 is an apocalyptic number.

It is an amenable number.

10007287370077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007287370077 is an equidigital number, since it uses as much as digits as its factorization.

10007287370077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 806736, while the sum is 49.

The spelling of 10007287370077 in words is "ten trillion, seven billion, two hundred eighty-seven million, three hundred seventy thousand, seventy-seven".