Search a number
-
+
1331321302000 = 24531663400277
BaseRepresentation
bin10011010111111000111…
…011101110101111110000
311201021101001220110012101
4103113320323232233300
5133303021223131000
62455333415510144
7165120245231554
oct23277073565760
94637331813171
101331321302000
11473679192a48
12196028988354
139870a145431
144861729b864
152496da4ae6a
hex135f8eeebf0

1331321302000 has 80 divisors (see below), whose sum is σ = 3221078694912. Its totient is φ = 532206969600.

The previous prime is 1331321301979. The next prime is 1331321302019. The reversal of 1331321302000 is 2031231331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3125862 + ... + 3526138.

Almost surely, 21331321302000 is an apocalyptic number.

1331321302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331321302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610539347456).

1331321302000 is an abundant number, since it is smaller than the sum of its proper divisors (1889757392912).

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

1331321302000 is a wasteful number, since it uses less digits than its factorization.

1331321302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401963 (or 401947 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1331321302000 its reverse (2031231331), we get a palindrome (1333352533331).

The spelling of 1331321302000 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1663 2000 3326 6652 8315 13304 16630 26608 33260 41575 66520 83150 133040 166300 207875 332600 400277 415750 665200 800554 831500 1601108 1663000 2001385 3202216 3326000 4002770 6404432 8005540 10006925 16011080 20013850 32022160 40027700 50034625 80055400 100069250 160110800 200138500 400277000 665660651 800554000 1331321302 2662642604 3328303255 5325285208 6656606510 10650570416 13313213020 16641516275 26626426040 33283032550 53252852080 66566065100 83207581375 133132130200 166415162750 266264260400 332830325500 665660651000 1331321302000