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10031000219 is a prime number
BaseRepresentation
bin10010101011110010…
…01110101010011011
3221220002002121102122
421111321032222123
5131020414001334
64335211051455
7503402044412
oct112571165233
927802077378
1010031000219
114288268a29
121b3b440b8b
13c3b2527b6
146b2312479
153da98332e
hex255e4ea9b

10031000219 has 2 divisors, whose sum is σ = 10031000220. Its totient is φ = 10031000218.

The previous prime is 10031000209. The next prime is 10031000249. The reversal of 10031000219 is 91200013001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10031000219 - 224 = 10014223003 is a prime.

It is a super-2 number, since 2×100310002192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10031000197 and 10031000206.

It is not a weakly prime, because it can be changed into another prime (10031000209) 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, 5015500109 + 5015500110.

It is an arithmetic number, because the mean of its divisors is an integer number (5015500110).

Almost surely, 210031000219 is an apocalyptic number.

10031000219 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031000219 is an equidigital number, since it uses as much as digits as its factorization.

10031000219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 10031000219 in words is "ten billion, thirty-one million, two hundred nineteen", and thus it is an aban number.