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1388820001320 = 233253857833337
BaseRepresentation
bin10100001101011100000…
…111110111001000101000
311220202210020212000110200
4110031130013313020220
5140223300410020240
62542003132312200
7202224153142503
oct24153407671050
94822706760420
101388820001320
11495aa4758864
121a51b5012660
13a0c7160913b
144b30d88213a
15261d68b7930
hex1435c1f7228

1388820001320 has 48 divisors (see below), whose sum is σ = 4513665005460. Its totient is φ = 370352000256.

The previous prime is 1388820001313. The next prime is 1388820001397. The reversal of 1388820001320 is 231000288831.

It can be written as a sum of positive squares in 2 ways, for example, as 1266178560516 + 122641440804 = 1125246^2 + 350202^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1928916309 + ... + 1928917028.

Almost surely, 21388820001320 is an apocalyptic number.

1388820001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1388820001320 is an abundant number, since it is smaller than the sum of its proper divisors (3124845004140).

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

1388820001320 is a wasteful number, since it uses less digits than its factorization.

1388820001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857833354 (or 3857833347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1388820001320 in words is "one trillion, three hundred eighty-eight billion, eight hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3857833337 7715666674 11573500011 15431333348 19289166685 23147000022 30862666696 34720500033 38578333370 46294000044 57867500055 69441000066 77156666740 92588000088 115735000110 138882000132 154313333480 173602500165 231470000220 277764000264 347205000330 462940000440 694410000660 1388820001320