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1331320210020 = 2232540571823077
BaseRepresentation
bin10011010111111000110…
…111100100001001100100
311201021100222211222021200
4103113320313210021210
5133303020433210040
62455333340242500
7165120233033133
oct23277067441144
94637328758250
101331320210020
11473678607589
12196028540430
1398709b523a8
144861709591a
152496d8d2630
hex135f8de4264

1331320210020 has 72 divisors (see below), whose sum is σ = 4039335586104. Its totient is φ = 354931020288.

The previous prime is 1331320209991. The next prime is 1331320210081. The reversal of 1331320210020 is 200120231331.

1331320210020 is a `hidden beast` number, since 1 + 331 + 320 + 2 + 10 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93192215076 + 1238127994944 = 305274^2 + 1112712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331320209975 and 1331320210002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181279 + ... + 1641798.

Almost surely, 21331320210020 is an apocalyptic number.

1331320210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331320210020 is an abundant number, since it is smaller than the sum of its proper divisors (2708015376084).

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

1331320210020 is a wasteful number, since it uses less digits than its factorization.

1331320210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827149 (or 1827144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1331320210020 its reverse (200120231331), we get a palindrome (1531440441351).

The spelling of 1331320210020 in words is "one trillion, three hundred thirty-one billion, three hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4057 8114 12171 16228 20285 24342 36513 40570 48684 60855 73026 81140 121710 146052 182565 243420 365130 730260 1823077 3646154 5469231 7292308 9115385 10938462 16407693 18230770 21876924 27346155 32815386 36461540 54692310 65630772 82038465 109384620 164076930 328153860 7396223389 14792446778 22188670167 29584893556 36981116945 44377340334 66566010501 73962233890 88754680668 110943350835 133132021002 147924467780 221886701670 266264042004 332830052505 443773403340 665660105010 1331320210020