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10021001009 is a prime number
BaseRepresentation
bin10010101010100110…
…00101011100110001
3221212101021121002112
421111103011130301
5131010334013014
64334212455105
7503221050245
oct112523053461
927771247075
1010021001009
114282659418
121b3801a495
13c391613c6
146b0c6c425
153d9b5a73e
hex2554c5731

10021001009 has 2 divisors, whose sum is σ = 10021001010. Its totient is φ = 10021001008.

The previous prime is 10021000991. The next prime is 10021001017. The reversal of 10021001009 is 90010012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9793081600 + 227919409 = 98960^2 + 15097^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021001009 - 28 = 10021000753 is a prime.

It is a super-2 number, since 2×100210010092 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021000984 and 10021001002.

It is not a weakly prime, because it can be changed into another prime (10021001609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010500504 + 5010500505.

It is an arithmetic number, because the mean of its divisors is an integer number (5010500505).

Almost surely, 210021001009 is an apocalyptic number.

It is an amenable number.

10021001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021001009 is an equidigital number, since it uses as much as digits as its factorization.

10021001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10021001009 in words is "ten billion, twenty-one million, one thousand, nine".