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2002022122000 = 24533743629171
BaseRepresentation
bin11101001000100001110…
…100010100001000010000
321002101120100211021212111
4131020201310110020100
5230300120130401000
64131414414035104
7264432655154335
oct35104164241020
97071510737774
102002022122000
11702064327a9a
122840091a8a94
13116a36485974
146cc8126698c
15371257aecba
hex1d221d14210

2002022122000 has 160 divisors (see below), whose sum is σ = 5087353924224. Its totient is φ = 761044032000.

The previous prime is 2002022121989. The next prime is 2002022122073. The reversal of 2002022122000 is 2212202002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867415 + ... + 3496585.

Almost surely, 22002022122000 is an apocalyptic number.

2002022122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543676962112).

2002022122000 is an abundant number, since it is smaller than the sum of its proper divisors (3085331802224).

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

2002022122000 is a wasteful number, since it uses less digits than its factorization.

2002022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629274 (or 629258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002022122000 its reverse (2212202002), we get a palindrome (2004234324002).

The spelling of 2002022122000 in words is "two trillion, two billion, twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 43 50 74 80 86 100 125 148 172 185 200 215 250 296 344 370 400 430 500 592 688 740 860 925 1000 1075 1480 1591 1720 1850 2000 2150 2960 3182 3440 3700 4300 4625 5375 6364 7400 7955 8600 9250 10750 12728 14800 15910 17200 18500 21500 25456 31820 37000 39775 43000 63640 74000 79550 86000 127280 159100 198875 318200 397750 629171 636400 795500 1258342 1591000 2516684 3145855 3182000 5033368 6291710 10066736 12583420 15729275 23279327 25166840 27054353 31458550 46558654 50333680 54108706 62917100 78646375 93117308 108217412 116396635 125834200 135271765 157292750 186234616 216434824 232793270 251668400 270543530 314585500 372469232 432869648 465586540 541087060 581983175 629171000 676358825 931173080 1001011061 1082174120 1163966350 1258342000 1352717650 1862346160 2002022122 2164348240 2327932700 2705435300 2909915875 3381794125 4004044244 4655865400 5005055305 5410870600 5819831750 6763588250 8008088488 9311730800 10010110610 10821741200 11639663500 13527176500 16016176976 20020221220 23279327000 25025276525 27054353000 40040442440 46558654000 50050553050 54108706000 80080884880 100101106100 125126382625 200202212200 250252765250 400404424400 500505530500 1001011061000 2002022122000