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13000210032 = 243270837709
BaseRepresentation
bin11000001101101111…
…10111011001110000
31020120000012002120110
430012313313121300
5203111023210112
65545555341320
7640104650655
oct140667673160
936500162513
1013000210032
115571309237
1226298b1840
1312c2446494
148b47c1c2c
1551149413c
hex306df7670

13000210032 has 20 divisors (see below), whose sum is σ = 33583876040. Its totient is φ = 4333403328.

The previous prime is 13000210031. The next prime is 13000210043. The reversal of 13000210032 is 23001200031.

It is a happy number.

It is a super-3 number, since 3×130002100323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000210031) 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 3 ways as a sum of consecutive naturals, for example, 135418807 + ... + 135418902.

It is an arithmetic number, because the mean of its divisors is an integer number (1679193802).

Almost surely, 213000210032 is an apocalyptic number.

13000210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000210032 is an abundant number, since it is smaller than the sum of its proper divisors (20583666008).

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

13000210032 is a wasteful number, since it uses less digits than its factorization.

13000210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270837720 (or 270837714 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000210032 its reverse (23001200031), we get a palindrome (36001410063).

The spelling of 13000210032 in words is "thirteen billion, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 270837709 541675418 812513127 1083350836 1625026254 2166701672 3250052508 4333403344 6500105016 13000210032