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2001220099164 = 22331121311779921
BaseRepresentation
bin11101000111110010000…
…000110101110001011100
321002022111110200022101000
4131013302000311301130
5230241444321133124
64131203043550300
7264404046114336
oct35076200656134
97068443608330
102001220099164
11701792635400
12283a2468b390
13116939275140
146cc06932456
15370ca1886c9
hex1d1f2035c5c

2001220099164 has 144 divisors (see below), whose sum is σ = 6141580133920. Its totient is φ = 559781798400.

The previous prime is 2001220099163. The next prime is 2001220099187. The reversal of 2001220099164 is 4619900221002.

2001220099164 is a `hidden beast` number, since 200 + 1 + 2 + 200 + 99 + 164 = 666.

It is a super-3 number, since 3×20012200991643 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001220099163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5720077 + ... + 6059844.

Almost surely, 22001220099164 is an apocalyptic number.

It is an amenable number.

2001220099164 is an abundant number, since it is smaller than the sum of its proper divisors (4140360034756).

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

2001220099164 is a wasteful number, since it uses less digits than its factorization.

2001220099164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779969 (or 11779950 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2001220099164 in words is "two trillion, one billion, two hundred twenty million, ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 484 572 594 702 726 858 1089 1188 1287 1404 1452 1573 1716 2178 2574 3146 3267 3861 4356 4719 5148 6292 6534 7722 9438 13068 14157 15444 18876 28314 42471 56628 84942 169884 11779921 23559842 35339763 47119684 70679526 106019289 129579131 141359052 153138973 212038578 259158262 306277946 318057867 388737393 424077156 459416919 518316524 612555892 636115734 777474786 918833838 1166212179 1272231468 1378250757 1425370441 1554949572 1684528703 1837667676 2332424358 2756501514 2850740882 3369057406 3498636537 4134752271 4276111323 4664848716 5053586109 5513003028 5701481764 6738114812 6997273074 8269504542 8552222646 10107172218 12828333969 13994546148 15160758327 16539009084 17104445292 18529815733 20214344436 25656667938 30321516654 37059631466 38485001907 45482274981 51313335876 55589447199 60643033308 74119262932 76970003814 90964549962 111178894398 153940007628 166768341597 181929099924 222357788796 333536683194 500305024791 667073366388 1000610049582 2001220099164