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1007070100409 is a prime number
BaseRepresentation
bin11101010011110100000…
…11100011101110111001
310120021102110001201221202
432221322003203232321
5112444434421203114
62050350331143545
7132521064420452
oct16517203435671
93507373051852
101007070100409
113591068a9a8a
121432158a4bb5
1373c73c76bc9
1436a57410129
151b2e22cacde
hexea7a0e3bb9

1007070100409 has 2 divisors, whose sum is σ = 1007070100410. Its totient is φ = 1007070100408.

The previous prime is 1007070100301. The next prime is 1007070100471. The reversal of 1007070100409 is 9040010707001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695884634809 + 311185465600 = 834197^2 + 557840^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007070100409 - 236 = 938350623673 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007070108409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503535050204 + 503535050205.

It is an arithmetic number, because the mean of its divisors is an integer number (503535050205).

Almost surely, 21007070100409 is an apocalyptic number.

It is an amenable number.

1007070100409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007070100409 is an equidigital number, since it uses as much as digits as its factorization.

1007070100409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 1007070100409 in words is "one trillion, seven billion, seventy million, one hundred thousand, four hundred nine".