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13132300152 = 2332414215393
BaseRepresentation
bin11000011101011111…
…01111111101111000
31020220012201222011010
430032233233331320
5203343332101102
610011034433520
7643300465236
oct141657577570
936805658133
1013132300152
115629928524
122665b928a0
13131391440a
148c8167956
1551cd86d6c
hex30ebeff78

13132300152 has 64 divisors (see below), whose sum is σ = 33051411360. Its totient is φ = 4348108800.

The previous prime is 13132300151. The next prime is 13132300169. The reversal of 13132300152 is 25100323131.

It is a super-3 number, since 3×131323001523 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132300151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432368 + ... + 2437760.

Almost surely, 213132300152 is an apocalyptic number.

13132300152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13132300152 is an abundant number, since it is smaller than the sum of its proper divisors (19919111208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132300152 is a wasteful number, since it uses less digits than its factorization.

13132300152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13132300152 its reverse (25100323131), we get a palindrome (38232623283).

The spelling of 13132300152 in words is "thirteen billion, one hundred thirty-two million, three hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 241 421 482 723 842 964 1263 1446 1684 1928 2526 2892 3368 5052 5393 5784 10104 10786 16179 21572 32358 43144 64716 101461 129432 202922 304383 405844 608766 811688 1217532 1299713 2270453 2435064 2599426 3899139 4540906 5198852 6811359 7798278 9081812 10397704 13622718 15596556 18163624 27245436 31193112 54490872 547179173 1094358346 1641537519 2188716692 3283075038 4377433384 6566150076 13132300152