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2002330131201 = 3219374795991103
BaseRepresentation
bin11101001000110100001…
…011010001101100000001
321002102100211101210001200
4131020310023101230001
5230301233003144301
64131505135451413
7264443415202341
oct35106413215401
97072324353050
102002330131201
11702202181954
12284094386b69
13116a8522912a
146ccb0122d21
1537142851c86
hex1d2342d1b01

2002330131201 has 96 divisors (see below), whose sum is σ = 3141365760000. Its totient is φ = 1224720342144.

The previous prime is 2002330131199. The next prime is 2002330131209. The reversal of 2002330131201 is 1021310332002.

2002330131201 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 330 + 131 + 201 = 666.

It is not a de Polignac number, because 2002330131201 - 21 = 2002330131199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002330131209) 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 95 ways as a sum of consecutive naturals, for example, 1815348616 + ... + 1815349718.

It is an arithmetic number, because the mean of its divisors is an integer number (32722560000).

Almost surely, 22002330131201 is an apocalyptic number.

It is an amenable number.

2002330131201 is a deficient number, since it is larger than the sum of its proper divisors (1139035628799).

2002330131201 is a wasteful number, since it uses less digits than its factorization.

2002330131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002330131201 its reverse (1021310332002), we get a palindrome (3023640463203).

The spelling of 2002330131201 in words is "two trillion, two billion, three hundred thirty million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 19 37 57 111 171 333 479 599 703 1103 1437 1797 2109 3309 4311 5391 6327 9101 9927 11381 17723 20957 22163 27303 34143 40811 53169 62871 66489 81909 102429 122433 159507 188613 199467 286921 336737 367299 421097 528337 660697 775409 860763 1010211 1263291 1585011 1982091 2326227 2582289 3030633 3789873 4755033 5451499 5946273 6978681 10038403 10616077 12553243 16354497 19548469 24445789 30115209 31848231 37659729 49063491 58645407 73337367 90345627 95544693 112979187 175936221 201705463 220012101 316473863 371420911 464469991 605116389 949421589 1114262733 1393409973 1815349167 2848264767 3342788199 4180229919 6013003397 11709532931 18039010191 35128598793 54117030573 105385796379 222481125689 667443377067 2002330131201