Search a number
-
+
101303411301 = 3222350475043
BaseRepresentation
bin101111001011000100…
…1110110001001100101
3100200111000020111102100
41132112021312021211
53124432133130201
6114312123402313
710214251534311
oct1362611661145
9320430214370
10101303411301
1139a65153324
1217772383399
139725870331
144c901ccb41
15297d8a0886
hex1796276265

101303411301 has 12 divisors (see below), whose sum is σ = 146983328128. Its totient is φ = 67232755944.

The previous prime is 101303411257. The next prime is 101303411309. The reversal of 101303411301 is 103114303101.

101303411301 is a `hidden beast` number, since 10 + 13 + 0 + 341 + 1 + 301 = 666.

It is not a de Polignac number, because 101303411301 - 27 = 101303411173 is a prime.

It is a super-2 number, since 2×1013034113012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101303411309) 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 11 ways as a sum of consecutive naturals, for example, 25235515 + ... + 25239528.

Almost surely, 2101303411301 is an apocalyptic number.

It is an amenable number.

101303411301 is a deficient number, since it is larger than the sum of its proper divisors (45679916827).

101303411301 is a wasteful number, since it uses less digits than its factorization.

101303411301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50475272 (or 50475269 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101303411301 its reverse (103114303101), we get a palindrome (204417714402).

The spelling of 101303411301 in words is "one hundred one billion, three hundred three million, four hundred eleven thousand, three hundred one".

Divisors: 1 3 9 223 669 2007 50475043 151425129 454275387 11255934589 33767803767 101303411301