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202148172841 is a prime number
BaseRepresentation
bin1011110001000011111…
…0000101010000101001
3201022210001110011122111
42330100332011100221
511302444413012331
6232510544522321
720414264055406
oct2742076052051
9638701404574
10202148172841
117880441225a
12332170203a1
13160a73a5874
149ad950b2ad
1553d1d54db1
hex2f10f85429

202148172841 has 2 divisors, whose sum is σ = 202148172842. Its totient is φ = 202148172840.

The previous prime is 202148172781. The next prime is 202148172871. The reversal of 202148172841 is 148271841202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176151447616 + 25996725225 = 419704^2 + 161235^2 .

It is a cyclic number.

It is not a de Polignac number, because 202148172841 - 213 = 202148164649 is a prime.

It is a super-2 number, since 2×2021481728412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202148172794 and 202148172803.

It is not a weakly prime, because it can be changed into another prime (202148172871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101074086420 + 101074086421.

It is an arithmetic number, because the mean of its divisors is an integer number (101074086421).

Almost surely, 2202148172841 is an apocalyptic number.

It is an amenable number.

202148172841 is a deficient number, since it is larger than the sum of its proper divisors (1).

202148172841 is an equidigital number, since it uses as much as digits as its factorization.

202148172841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 202148172841 in words is "two hundred two billion, one hundred forty-eight million, one hundred seventy-two thousand, eight hundred forty-one".