Search a number
-
+
121201000201 = 1571933999901
BaseRepresentation
bin111000011100000100…
…1000111111100001001
3102120211201001202001101
41300320021013330021
53441204424001301
6131402354021401
711520321334501
oct1607011077411
9376751052041
10121201000201
1147445894376
121b5a5b77861
13b576c6bb88
145c1aa56a01
15324563c701
hex1c38247f09

121201000201 has 8 divisors (see below), whose sum is σ = 122604996104. Its totient is φ = 119805004800.

The previous prime is 121201000187. The next prime is 121201000213. The reversal of 121201000201 is 102000102121.

It can be written as a sum of positive squares in 4 ways, for example, as 165894400 + 121035105801 = 12880^2 + 347901^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121201000201 - 231 = 119053516553 is a prime.

It is a super-3 number, since 3×1212010002013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121201300201) 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 in 7 ways as a sum of consecutive naturals, for example, 1969650 + ... + 2030251.

It is an arithmetic number, because the mean of its divisors is an integer number (15325624513).

Almost surely, 2121201000201 is an apocalyptic number.

It is an amenable number.

121201000201 is a deficient number, since it is larger than the sum of its proper divisors (1403995903).

121201000201 is a wasteful number, since it uses less digits than its factorization.

121201000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000251.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121201000201 its reverse (102000102121), we get a palindrome (223201102322).

The spelling of 121201000201 in words is "one hundred twenty-one billion, two hundred one million, two hundred one", and thus it is an aban number.

Divisors: 1 157 193 30301 3999901 627984457 771980893 121201000201