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201040121921 is a prime number
BaseRepresentation
bin1011101100111011101…
…1001101000001000001
3201012220211110100112112
42323032323031001001
511243212232400141
6232205003305105
720344650561302
oct2731673150101
9635824410475
10201040121921
11782959a91a1
1232b67b1b195
1315c5b966532
149a322b47a9
15536992d7eb
hex2eceecd041

201040121921 has 2 divisors, whose sum is σ = 201040121922. Its totient is φ = 201040121920.

The previous prime is 201040121897. The next prime is 201040122011. The reversal of 201040121921 is 129121040102.

201040121921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102374401600 + 98665720321 = 319960^2 + 314111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201040121921 is a prime.

It is not a weakly prime, because it can be changed into another prime (201040126921) 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, 100520060960 + 100520060961.

It is an arithmetic number, because the mean of its divisors is an integer number (100520060961).

Almost surely, 2201040121921 is an apocalyptic number.

It is an amenable number.

201040121921 is a deficient number, since it is larger than the sum of its proper divisors (1).

201040121921 is an equidigital number, since it uses as much as digits as its factorization.

201040121921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 201040121921 in words is "two hundred one billion, forty million, one hundred twenty-one thousand, nine hundred twenty-one".