Search a number
-
+
13540212531 = 3313119919237
BaseRepresentation
bin11001001110000111…
…10011111100110011
31021221122022001202000
430213003303330303
5210212243300111
610115325425043
7656352623166
oct144703637463
937848261660
1013540212531
11581910809a
12275a70b183
13137a2962a1
149263cbadd
15543aaec56
hex3270f3f33

13540212531 has 32 divisors (see below), whose sum is σ = 20315328000. Its totient is φ = 8912423520.

The previous prime is 13540212529. The next prime is 13540212557. The reversal of 13540212531 is 13521204531.

13540212531 is a `hidden beast` number, since 1 + 3 + 5 + 402 + 1 + 253 + 1 = 666.

It is not a de Polignac number, because 13540212531 - 21 = 13540212529 is a prime.

It is a super-2 number, since 2×135402125312 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13540212495 and 13540212504.

It is not an unprimeable number, because it can be changed into a prime (13540212331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694245 + ... + 713481.

It is an arithmetic number, because the mean of its divisors is an integer number (634854000).

Almost surely, 213540212531 is an apocalyptic number.

13540212531 is a deficient number, since it is larger than the sum of its proper divisors (6775115469).

13540212531 is a wasteful number, since it uses less digits than its factorization.

13540212531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19576 (or 19570 counting only the distinct ones).

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

The spelling of 13540212531 in words is "thirteen billion, five hundred forty million, two hundred twelve thousand, five hundred thirty-one".

Divisors: 1 3 9 27 131 199 393 597 1179 1791 3537 5373 19237 26069 57711 78207 173133 234621 519399 703863 2520047 3828163 7560141 11484489 22680423 34453467 68041269 103360401 501489353 1504468059 4513404177 13540212531