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2002112320201 = 71729220005319
BaseRepresentation
bin11101001000100111001…
…100011001001011001001
321002101210122112211112121
4131020213030121023021
5230300311223221301
64131431355211241
7264435131634010
oct35104714311311
97071718484477
102002112320201
11702100234264
12284033446b21
13116a4c076b96
146cc8d225a77
153712d67a3a1
hex1d2273192c9

2002112320201 has 24 divisors (see below), whose sum is σ = 2509147255680. Its totient is φ = 1559454548736.

The previous prime is 2002112320199. The next prime is 2002112320249. The reversal of 2002112320201 is 1020232112002.

It is a happy number.

It is not a de Polignac number, because 2002112320201 - 21 = 2002112320199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002112320801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9902581 + ... + 10102738.

It is an arithmetic number, because the mean of its divisors is an integer number (104547802320).

Almost surely, 22002112320201 is an apocalyptic number.

It is an amenable number.

2002112320201 is a deficient number, since it is larger than the sum of its proper divisors (507034935479).

2002112320201 is a wasteful number, since it uses less digits than its factorization.

2002112320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005401 (or 20005372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2002112320201 its reverse (1020232112002), we get a palindrome (3022344432203).

The spelling of 2002112320201 in words is "two trillion, two billion, one hundred twelve million, three hundred twenty thousand, two hundred one".

Divisors: 1 7 17 29 119 203 493 841 3451 5887 14297 100079 20005319 140037233 340090423 580154251 2380632961 4061079757 9862622267 16824473279 69038355869 117771312953 286016045743 2002112320201