Search a number
-
+
2032030122000 = 24353338671687
BaseRepresentation
bin11101100100011110011…
…011110000000000010000
321012021000200011122011220
4131210132123300000100
5231243044202401000
64153300213405040
7266544413022654
oct35443633600020
97167020148156
102032030122000
1171386303559a
122899a2939780
131198093bc198
14704ca794a64
1537ccee691a0
hex1d91e6f0010

2032030122000 has 80 divisors (see below), whose sum is σ = 6551265132672. Its totient is φ = 541874697600.

The previous prime is 2032030121971. The next prime is 2032030122007. The reversal of 2032030122000 is 2210302302.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (2032030122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169329844 + ... + 169341843.

Almost surely, 22032030122000 is an apocalyptic number.

2032030122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032030122000 is an abundant number, since it is smaller than the sum of its proper divisors (4519235010672).

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

2032030122000 is a wasteful number, since it uses less digits than its factorization.

2032030122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338671713 (or 338671697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2032030122000 its reverse (2210302302), we get a palindrome (2034240424302).

The spelling of 2032030122000 in words is "two trillion, thirty-two billion, thirty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 338671687 677343374 1016015061 1354686748 1693358435 2032030122 2709373496 3386716870 4064060244 5080075305 5418746992 6773433740 8128120488 8466792175 10160150610 13546867480 16256240976 16933584350 20320301220 25400376525 27093734960 33867168700 40640602440 42333960875 50800753050 67734337400 81281204880 84667921750 101601506100 127001882625 135468674800 169335843500 203203012200 254003765250 338671687000 406406024400 508007530500 677343374000 1016015061000 2032030122000