Search a number
-
+
13530212541 = 35539910313
BaseRepresentation
bin11001001100111011…
…01010100010111101
31021220221111000100000
430212131222202331
5210202213300131
610114331224513
7656201623536
oct144635524275
937827430300
1013530212541
1158134a7a3a
1227572a8139
1313781a4731
14924d4768d
15542c86ce6
hex32676a8bd

13530212541 has 24 divisors (see below), whose sum is σ = 20273198400. Its totient is φ = 9017596512.

The previous prime is 13530212513. The next prime is 13530212551. The reversal of 13530212541 is 14521203531.

13530212541 is a `hidden beast` number, since 1 + 3 + 530 + 2 + 125 + 4 + 1 = 666.

It is not a de Polignac number, because 13530212541 - 210 = 13530211517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530212551) 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 23 ways as a sum of consecutive naturals, for example, 1306801 + ... + 1317113.

It is an arithmetic number, because the mean of its divisors is an integer number (844716600).

Almost surely, 213530212541 is an apocalyptic number.

It is an amenable number.

13530212541 is a deficient number, since it is larger than the sum of its proper divisors (6742985859).

13530212541 is an equidigital number, since it uses as much as digits as its factorization.

13530212541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13530212541 in words is "thirteen billion, five hundred thirty million, two hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 27 81 243 5399 10313 16197 30939 48591 92817 145773 278451 437319 835353 1311957 2506059 55679887 167039661 501118983 1503356949 4510070847 13530212541