Search a number
-
+
13131000201 = 3114756914879
BaseRepresentation
bin11000011101010101…
…10010100110001001
31020220010021220221210
430032222302212021
5203343014001301
610010550523333
7643253442264
oct141652624611
936803256853
1013131000201
11562911a890
122665666549
13131357a807
148c7d09cdb
1551cbcbad6
hex30eab2989

13131000201 has 32 divisors (see below), whose sum is σ = 19541606400. Its totient is φ = 7774647680.

The previous prime is 13131000199. The next prime is 13131000221. The reversal of 13131000201 is 10200013131.

It is a cyclic number.

It is not a de Polignac number, because 13131000201 - 21 = 13131000199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13131000221) 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, 875080 + ... + 889958.

It is an arithmetic number, because the mean of its divisors is an integer number (610675200).

Almost surely, 213131000201 is an apocalyptic number.

13131000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13131000201 is a deficient number, since it is larger than the sum of its proper divisors (6410606199).

13131000201 is a wasteful number, since it uses less digits than its factorization.

13131000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15509.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13131000201 its reverse (10200013131), we get a palindrome (23331013332).

The spelling of 13131000201 in words is "thirteen billion, one hundred thirty-one million, two hundred one", and thus it is an aban number.

Divisors: 1 3 11 33 47 141 517 569 1551 1707 6259 14879 18777 26743 44637 80229 163669 294173 491007 699313 882519 2097939 7692443 8466151 23077329 25398453 93127661 279382983 397909097 1193727291 4377000067 13131000201