Search a number
-
+
100533611061 = 32131217706049
BaseRepresentation
bin101110110100001000…
…1010010101000110101
3100121111100201121000100
41131220101102220311
53121343101023221
6114103504104313
710156213410612
oct1355021225065
9317440647010
10100533611061
11396aa669a84
1217598605099
139632232330
144c19c85509
152935ee1926
hex1768452a35

100533611061 has 24 divisors (see below), whose sum is σ = 156514339800. Its totient is φ = 61815914496.

The previous prime is 100533611029. The next prime is 100533611077. The reversal of 100533611061 is 160116335001.

100533611061 is a `hidden beast` number, since 1 + 0 + 0 + 533 + 61 + 10 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3793328100 + 96740282961 = 61590^2 + 311031^2 .

It is not a de Polignac number, because 100533611061 - 25 = 100533611029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100533611011) 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 23 ways as a sum of consecutive naturals, for example, 210636 + ... + 495413.

It is an arithmetic number, because the mean of its divisors is an integer number (6521430825).

Almost surely, 2100533611061 is an apocalyptic number.

It is an amenable number.

100533611061 is a deficient number, since it is larger than the sum of its proper divisors (55980728739).

100533611061 is a wasteful number, since it uses less digits than its factorization.

100533611061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707285 (or 707282 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 100533611061 its reverse (160116335001), we get a palindrome (260649946062).

The spelling of 100533611061 in words is "one hundred billion, five hundred thirty-three million, six hundred eleven thousand, sixty-one".

Divisors: 1 3 9 13 39 117 1217 3651 10953 15821 47463 142389 706049 2118147 6354441 9178637 27535911 82607733 859261633 2577784899 7733354697 11170401229 33511203687 100533611061