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2002131120 = 243511758383
BaseRepresentation
bin111011101010110…
…0001100010110000
312011112100210120110
41313111201202300
513100021143440
6530400341320
7100420555653
oct16725414260
95145323513
102002131120
11938172820
1247a614840
1325ba42392
1414dc9189a
15bab84080
hex775618b0

2002131120 has 80 divisors (see below), whose sum is σ = 6770852352. Its totient is φ = 485364480.

The previous prime is 2002131083. The next prime is 2002131143. The reversal of 2002131120 is 211312002.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2002131096 and 2002131105.

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, 376552 + ... + 381831.

Almost surely, 22002131120 is an apocalyptic number.

2002131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002131120 is an abundant number, since it is smaller than the sum of its proper divisors (4768721232).

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

2002131120 is a wasteful number, since it uses less digits than its factorization.

2002131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758410 (or 758404 counting only the distinct ones).

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

The square root of 2002131120 is about 44745.1798521360. The cubic root of 2002131120 is about 1260.3683981983.

Adding to 2002131120 its reverse (211312002), we get a palindrome (2213443122).

The spelling of 2002131120 in words is "two billion, two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 758383 1516766 2275149 3033532 3791915 4550298 6067064 7583830 8342213 9100596 11375745 12134128 15167660 16684426 18201192 22751490 25026639 30335320 33368852 36402384 41711065 45502980 50053278 60670640 66737704 83422130 91005960 100106556 125133195 133475408 166844260 182011920 200213112 250266390 333688520 400426224 500532780 667377040 1001065560 2002131120