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1001010114007 is a prime number
BaseRepresentation
bin11101001000100001101…
…10100010110111010111
310112200210010010112101221
432210100312202313113
5112400032042122012
62043505132431211
7132214651402561
oct16442066426727
93480703115357
101001010114007
11356587127562
12142004318507
1373519637437
1436640668331
151b08a294507
hexe910da2dd7

1001010114007 has 2 divisors, whose sum is σ = 1001010114008. Its totient is φ = 1001010114006.

The previous prime is 1001010114001. The next prime is 1001010114023. The reversal of 1001010114007 is 7004110101001.

It is a happy number.

It is an a-pointer prime, because the next prime (1001010114023) can be obtained adding 1001010114007 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001010114007 is a prime.

It is a super-3 number, since 3×10010101140073 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001010114001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505057003 + 500505057004.

It is an arithmetic number, because the mean of its divisors is an integer number (500505057004).

Almost surely, 21001010114007 is an apocalyptic number.

1001010114007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010114007 is an equidigital number, since it uses as much as digits as its factorization.

1001010114007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1001010114007 its reverse (7004110101001), we get a palindrome (8005120215008).

The spelling of 1001010114007 in words is "one trillion, one billion, ten million, one hundred fourteen thousand, seven".