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2002141002393 = 347210938911897
BaseRepresentation
bin11101001000101000111…
…001110011101010011001
321002101212122112001010000
4131020220321303222121
5230300341044034033
64131434302043213
7264435630503400
oct35105071635231
97071778461100
102002141002393
11702115444654
12284040b79509
13116a54caa0ac
146cc92d70637
1537130e43a13
hex1d228e73a99

2002141002393 has 120 divisors (see below), whose sum is σ = 3520395707400. Its totient is φ = 1130575283712.

The previous prime is 2002141002287. The next prime is 2002141002473. The reversal of 2002141002393 is 3932001412002.

It is a happy number.

2002141002393 is a `hidden beast` number, since 200 + 21 + 410 + 0 + 23 + 9 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 852534595584 + 1149606406809 = 923328^2 + 1072197^2 .

It is not a de Polignac number, because 2002141002393 - 225 = 2002107447961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2002141007393) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168283621 + ... + 168295517.

It is an arithmetic number, because the mean of its divisors is an integer number (29336630895).

Almost surely, 22002141002393 is an apocalyptic number.

It is an amenable number.

2002141002393 is a deficient number, since it is larger than the sum of its proper divisors (1518254705007).

2002141002393 is a wasteful number, since it uses less digits than its factorization.

2002141002393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2002141002393 its reverse (3932001412002), we get a palindrome (5934142414395).

The spelling of 2002141002393 in words is "two trillion, two billion, one hundred forty-one million, two thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 81 109 147 189 327 389 441 567 763 981 1167 1323 2289 2723 2943 3501 3969 5341 6867 8169 8829 10503 11897 16023 19061 20601 24507 31509 35691 42401 48069 57183 61803 73521 83279 107073 127203 144207 171549 220563 249837 296807 321219 381609 432621 514647 582953 749511 890421 963657 1144827 1296773 1543941 1748859 2077649 2248533 2671263 3434481 3890319 4627933 5246577 6232947 6745599 8013789 9077411 11670957 13883799 15739731 18698841 24041367 27232233 32395531 35012871 41651397 47219193 56096523 63541877 81696699 97186593 105038613 124954191 168289569 190625631 226768717 245090097 291559779 374862573 504444697 571876893 680306151 735270291 874679337 1513334091 1715630679 2040918453 2624038011 3531112879 4540002273 5146892037 6122755359 10593338637 13620006819 18368266077 24717790153 31780015911 40860020457 74153370459 95340047733 222460111377 286020143199 667380334131 2002141002393