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13132132000 = 255313252541
BaseRepresentation
bin11000011101011110…
…00110111010100000
31020220012102102111021
430032233012322200
5203343311211000
610011031055224
7643266165061
oct141657067240
936805372437
1013132132000
115629823159
122665b11514
131313885a10
148c8122568
1551cd5211a
hex30ebc6ea0

13132132000 has 96 divisors (see below), whose sum is σ = 34747758864. Its totient is φ = 4848768000.

The previous prime is 13132131977. The next prime is 13132132061. The reversal of 13132132000 is 23123131.

13132132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1453439376 + 11678692624 = 38124^2 + 108068^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74271 + ... + 178270.

Almost surely, 213132132000 is an apocalyptic number.

13132132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132132000 is an abundant number, since it is smaller than the sum of its proper divisors (21615626864).

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

13132132000 is a wasteful number, since it uses less digits than its factorization.

13132132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252579 (or 252561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13132132000 its reverse (23123131), we get a palindrome (13155255131).

The spelling of 13132132000 in words is "thirteen billion, one hundred thirty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 252541 505082 1010164 1262705 2020328 2525410 3283033 4040656 5050820 6313525 6566066 8081312 10101640 12627050 13132132 16415165 20203280 25254100 26264264 31567625 32830330 40406560 50508200 52528528 63135250 65660660 82075825 101016400 105057056 126270500 131321320 164151650 202032800 252541000 262642640 328303300 410379125 505082000 525285280 656606600 820758250 1010164000 1313213200 1641516500 2626426400 3283033000 6566066000 13132132000