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2002101222000 = 243531130334867
BaseRepresentation
bin11101001000100110100…
…010000011101001110000
321002101202212122222200010
4131020212202003221300
5230300300403101000
64131430321254520
7264434635411515
oct35104642035160
97071685588603
102002101222000
117020a4a43aa0
1228402b794440
13116a4998c4b9
146cc8b97730c
153712c6d6d50
hex1d226883a70

2002101222000 has 160 divisors (see below), whose sum is σ = 7041572239104. Its totient is φ = 485357856000.

The previous prime is 2002101221987. The next prime is 2002101222007. The reversal of 2002101222000 is 2221012002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101222007) 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 31 ways as a sum of consecutive naturals, for example, 15101434 + ... + 15233433.

Almost surely, 22002101222000 is an apocalyptic number.

2002101222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101222000 is an abundant number, since it is smaller than the sum of its proper divisors (5039471017104).

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

2002101222000 is a wasteful number, since it uses less digits than its factorization.

2002101222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30334904 (or 30334888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002101222000 its reverse (2221012002), we get a palindrome (2004322234002).

The spelling of 2002101222000 in words is "two trillion, two billion, one hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 30334867 60669734 91004601 121339468 151674335 182009202 242678936 303348670 333683537 364018404 455023005 485357872 606697340 667367074 728036808 758371675 910046010 1001050611 1213394680 1334734148 1456073616 1516743350 1668417685 1820092020 2002101222 2275115025 2426789360 2669468296 3033486700 3336835370 3640184040 3791858375 4004202444 4550230050 5005253055 5338936592 6066973400 6673670740 7280368080 7583716750 8008404888 8342088425 9100460100 10010506110 11375575125 12133946800 13347341480 15167433500 16016809776 16684176850 18200920200 20021012220 22751150250 25026265275 26694682960 30334867000 33368353700 36401840400 40042024440 41710442125 45502300500 50052530550 60669734000 66736707400 80084048880 83420884250 91004601000 100105061100 125131326375 133473414800 166841768500 182009202000 200210122200 250262652750 333683537000 400420244400 500525305500 667367074000 1001050611000 2002101222000