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201427626121 is a prime number
BaseRepresentation
bin1011101110011000000…
…1011010100010001001
3201020220211121121100221
42323212001122202021
511300010433013441
6232311245030041
720360364400201
oct2734601324211
9636824547327
10201427626121
11784747098a7
1233055855321
1315cc1021267
149a6b945401
15538d9748d1
hex2ee605a889

201427626121 has 2 divisors, whose sum is σ = 201427626122. Its totient is φ = 201427626120.

The previous prime is 201427626047. The next prime is 201427626137. The reversal of 201427626121 is 121626724102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173826455625 + 27601170496 = 416925^2 + 166136^2 .

It is a cyclic number.

It is not a de Polignac number, because 201427626121 - 231 = 199280142473 is a prime.

It is not a weakly prime, because it can be changed into another prime (201427626151) 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, 100713813060 + 100713813061.

It is an arithmetic number, because the mean of its divisors is an integer number (100713813061).

Almost surely, 2201427626121 is an apocalyptic number.

It is an amenable number.

201427626121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201427626121 is an equidigital number, since it uses as much as digits as its factorization.

201427626121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 201427626121 in words is "two hundred one billion, four hundred twenty-seven million, six hundred twenty-six thousand, one hundred twenty-one".