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42001000007 is a prime number
BaseRepresentation
bin100111000111011101…
…000110011001000111
311000102010021212110212
4213013131012121013
51142004224000012
631143415110035
73014552416031
oct470735063107
9130363255425
1042001000007
11168a3518a5a
12818207231b
133c647b9b35
142066246c51
15115c4e5b22
hex9c7746647

42001000007 has 2 divisors, whose sum is σ = 42001000008. Its totient is φ = 42001000006.

The previous prime is 42000999973. The next prime is 42001000009. The reversal of 42001000007 is 70000010024.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42001000007 - 28 = 42000999751 is a prime.

Together with 42001000009, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42000999955 and 42001000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42001000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21000500003 + 21000500004.

It is an arithmetic number, because the mean of its divisors is an integer number (21000500004).

Almost surely, 242001000007 is an apocalyptic number.

42001000007 is a deficient number, since it is larger than the sum of its proper divisors (1).

42001000007 is an equidigital number, since it uses as much as digits as its factorization.

42001000007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 14.

The spelling of 42001000007 in words is "forty-two billion, one million, seven", and thus it is an aban number and an uban number.