Search a number
-
+
201018617201 is a prime number
BaseRepresentation
bin1011101100110110100…
…1001010110101110001
3201012212022222210121102
42323031221022311301
511243141231222301
6232202514334145
720344300024313
oct2731551126561
9635768883542
10201018617201
11782848503a6
1232b6088a355
1315c5737724c
149a2d4b77b3
155367ad1b6b
hex2ecda4ad71

201018617201 has 2 divisors, whose sum is σ = 201018617202. Its totient is φ = 201018617200.

The previous prime is 201018617179. The next prime is 201018617221. The reversal of 201018617201 is 102716810102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148429120225 + 52589496976 = 385265^2 + 229324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201018617201 is a prime.

It is a super-2 number, since 2×2010186172012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201018617221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100509308600 + 100509308601.

It is an arithmetic number, because the mean of its divisors is an integer number (100509308601).

Almost surely, 2201018617201 is an apocalyptic number.

It is an amenable number.

201018617201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201018617201 is an equidigital number, since it uses as much as digits as its factorization.

201018617201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 201018617201 in words is "two hundred one billion, eighteen million, six hundred seventeen thousand, two hundred one".