Search a number
-
+
201215336641 = 11173159957947
BaseRepresentation
bin1011101101100101011…
…1100110000011000001
3201020101001011011221121
42323121113212003001
511244042111233031
6232234222552241
720352206066344
oct2733127460301
9636331134847
10201215336641
11783758a2650
1232bb6738681
1315c89053297
149a4b68445b
155379ede011
hex2ed95e60c1

201215336641 has 32 divisors (see below), whose sum is σ = 240321945600. Its totient is φ = 166328198400.

The previous prime is 201215336639. The next prime is 201215336657. The reversal of 201215336641 is 146633512102.

201215336641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201215336641 - 21 = 201215336639 is a prime.

It is a super-2 number, since 2×2012153366412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201215336597 and 201215336606.

It is not an unprimeable number, because it can be changed into a prime (201215336611) 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 in 31 ways as a sum of consecutive naturals, for example, 3443430 + ... + 3501376.

It is an arithmetic number, because the mean of its divisors is an integer number (7510060800).

Almost surely, 2201215336641 is an apocalyptic number.

It is an amenable number.

201215336641 is a deficient number, since it is larger than the sum of its proper divisors (39106608959).

201215336641 is a wasteful number, since it uses less digits than its factorization.

201215336641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58605.

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 201215336641 its reverse (146633512102), we get a palindrome (347848848743).

The spelling of 201215336641 in words is "two hundred one billion, two hundred fifteen million, three hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 11 17 31 187 341 527 599 5797 6589 10183 18569 57947 112013 204259 315673 637417 985099 1796357 3472403 10836089 19759927 30538069 34710253 335918759 381812783 590074301 1076017843 6490817311 11836196273 18292303331 201215336641