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1000320120120 = 233583100433747
BaseRepresentation
bin11101000111001111011…
…10011011010100111000
310112122000000210012201210
432203213232123110320
5112342123422320440
62043312443443120
7132161602504566
oct16434756332470
93478000705653
101000320120120
113562626a1982
12141a512264a0
13734396bc629
14365b6b76a36
151b0498eba80
hexe8e7b9b538

1000320120120 has 64 divisors (see below), whose sum is σ = 3037116539520. Its totient is φ = 263538149504.

The previous prime is 1000320120103. The next prime is 1000320120131. The reversal of 1000320120120 is 210210230001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000320120096 and 1000320120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50206914 + ... + 50226833.

It is an arithmetic number, because the mean of its divisors is an integer number (47454945930).

Almost surely, 21000320120120 is an apocalyptic number.

1000320120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000320120120 is an abundant number, since it is smaller than the sum of its proper divisors (2036796419400).

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

1000320120120 is a wasteful number, since it uses less digits than its factorization.

1000320120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100433844 (or 100433840 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000320120120 its reverse (210210230001), we get a palindrome (1210530350121).

The spelling of 1000320120120 in words is "one trillion, three hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 100433747 200867494 301301241 401734988 502168735 602602482 803469976 1004337470 1205204964 1506506205 2008674940 2410409928 3013012410 4017349880 6026024820 8336001001 12052049640 16672002002 25008003003 33344004004 41680005005 50016006006 66688008008 83360010010 100032012012 125040015015 166720020020 200064024024 250080030030 333440040040 500160060060 1000320120120