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1010303221320 = 233252806397837
BaseRepresentation
bin11101011001110101100…
…00111011111001001000
310120120202202202022001200
432230322300323321020
5113023100111040240
62052043224144200
7132664153455111
oct16547260737110
93516682668050
101010303221320
1135a515914638
12143978608060
137436aa410c3
1436c8297b208
151b43106c930
hexeb3ac3be48

1010303221320 has 48 divisors (see below), whose sum is σ = 3283485470460. Its totient is φ = 269414192256.

The previous prime is 1010303221289. The next prime is 1010303221321. The reversal of 1010303221320 is 231223030101.

1010303221320 is a `hidden beast` number, since 10 + 10 + 3 + 0 + 322 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1007216974404 + 3086246916 = 1003602^2 + 55554^2 .

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 = 1010303221293 and 1010303221302.

It is not an unprimeable number, because it can be changed into a prime (1010303221321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1403198559 + ... + 1403199278.

Almost surely, 21010303221320 is an apocalyptic number.

1010303221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010303221320 is an abundant number, since it is smaller than the sum of its proper divisors (2273182249140).

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

1010303221320 is a wasteful number, since it uses less digits than its factorization.

1010303221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806397854 (or 2806397847 counting only the distinct ones).

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

Adding to 1010303221320 its reverse (231223030101), we get a palindrome (1241526251421).

The spelling of 1010303221320 in words is "one trillion, ten billion, three hundred three million, two hundred twenty-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 2806397837 5612795674 8419193511 11225591348 14031989185 16838387022 22451182696 25257580533 28063978370 33676774044 42095967555 50515161066 56127956740 67353548088 84191935110 101030322132 112255913480 126287902665 168383870220 202060644264 252575805330 336767740440 505151610660 1010303221320