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10002220001 is a prime number
BaseRepresentation
bin10010101000010110…
…11100001111100001
3221211001221102101122
421110023130033201
5130441032020001
64332302142025
7502602316154
oct112413341741
927731842348
1010002220001
114272aa0a24
121b31881915
13c352b6a97
146ac57dc9b
153d819ab1b
hex2542dc3e1

10002220001 has 2 divisors, whose sum is σ = 10002220002. Its totient is φ = 10002220000.

The previous prime is 10002219991. The next prime is 10002220051.

10002220001 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9521075776 + 481144225 = 97576^2 + 21935^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10002220001 - 210 = 10002218977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002220051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001110000 + 5001110001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001110001).

Almost surely, 210002220001 is an apocalyptic number.

It is an amenable number.

10002220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002220001 is an equidigital number, since it uses as much as digits as its factorization.

10002220001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 8.

The spelling of 10002220001 in words is "ten billion, two million, two hundred twenty thousand, one".