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2002110020001 = 3371319334312829
BaseRepresentation
bin11101001000100111000…
…011100111100110100001
321002101210111012222021000
4131020213003213212201
5230300310131120001
64131431234022213
7264435103243620
oct35104703474641
97071714188230
102002110020001
117020a9a03073
12284032717969
13116a4b74cc10
146cc8cbc76b7
153712d373a86
hex1d2270e79a1

2002110020001 has 128 divisors (see below), whose sum is σ = 3844155392000. Its totient is φ = 1000098793728.

The previous prime is 2002110019937. The next prime is 2002110020017. The reversal of 2002110020001 is 1000200112002.

It is not a de Polignac number, because 2002110020001 - 26 = 2002110019937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2002110020021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156054855 + ... + 156067683.

It is an arithmetic number, because the mean of its divisors is an integer number (30032464000).

Almost surely, 22002110020001 is an apocalyptic number.

2002110020001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002110020001 is a deficient number, since it is larger than the sum of its proper divisors (1842045371999).

2002110020001 is a wasteful number, since it uses less digits than its factorization.

2002110020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16220 (or 16214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002110020001 its reverse (1000200112002), we get a palindrome (3002310132003).

The spelling of 2002110020001 in words is "two trillion, two billion, one hundred ten million, twenty thousand, one".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 399 513 741 819 1197 1729 2223 2457 3343 3591 5187 6669 10029 12829 15561 23401 30087 38487 43459 46683 63517 70203 89803 90261 115461 130377 166777 190551 210609 243751 269409 304213 346383 391131 444619 500331 571653 631827 731253 808227 825721 912639 1167439 1173393 1333857 1500993 1706257 1714959 2193759 2424681 2477163 2737917 3168763 3502317 4001571 4502979 5118771 5780047 6581277 7431489 8213751 9506289 10506951 12004713 15356313 17340141 22181341 22294467 28518867 31520853 42887347 46068939 52020423 66544023 85556601 128662041 156061269 199632069 300211429 385986123 557535511 598896207 814859593 900634287 1157958369 1672606533 2444578779 2701902861 3902748577 5017819599 5704017151 7333736337 8105708583 10593174709 11708245731 15053458797 17112051453 22001209011 31779524127 35124737193 51336154359 74152222963 95338572381 105374211579 154008463077 222456668889 286015717143 667370006667 2002110020001