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1330323320020 = 2251012617251653
BaseRepresentation
bin10011010110111101011…
…100101110110011010100
311201011210112000201021211
4103112331130232303110
5133244000232220040
62455050405351204
7165053436434242
oct23267534566324
94634715021254
101330323320020
11473206918352
121959aa708504
13985ab463956
1448560917792
15249111178ea
hex135bd72ecd4

1330323320020 has 48 divisors (see below), whose sum is σ = 2822428456848. Its totient is φ = 526657305600.

The previous prime is 1330323319943. The next prime is 1330323320033. The reversal of 1330323320020 is 200233230331.

It can be written as a sum of positive squares in 8 ways, for example, as 42198198084 + 1288125121936 = 205422^2 + 1134956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1330323319973 and 1330323320000.

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, 5160514 + ... + 5412166.

It is an arithmetic number, because the mean of its divisors is an integer number (58800592851).

Almost surely, 21330323320020 is an apocalyptic number.

1330323320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330323320020 is an abundant number, since it is smaller than the sum of its proper divisors (1492105136828).

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

1330323320020 is a wasteful number, since it uses less digits than its factorization.

1330323320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254380 (or 254378 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 1330323320020 its reverse (200233230331), we get a palindrome (1530556550351).

The spelling of 1330323320020 in words is "one trillion, three hundred thirty billion, three hundred twenty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 2617 5234 10468 13085 26170 52340 251653 264317 503306 528634 1006612 1057268 1258265 1321585 2516530 2643170 5033060 5286340 25416953 50833906 101667812 127084765 254169530 508339060 658575901 1317151802 2634303604 3292879505 6585759010 13171518020 66516166001 133032332002 266064664004 332580830005 665161660010 1330323320020