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2002012012312 = 2313971011964899
BaseRepresentation
bin11101001000100001001…
…101101111111100011000
321002101112122210122222121
4131020201031233330120
5230300110033343222
64131413413231024
7264432503220124
oct35104115577430
97071478718877
102002012012312
11702059652484
12284005932474
13116a343561c0
146cc7db94584
15371249645c7
hex1d22136ff18

2002012012312 has 64 divisors (see below), whose sum is σ = 4124639484000. Its totient is φ = 905424998400.

The previous prime is 2002012012303. The next prime is 2002012012321. The reversal of 2002012012312 is 2132102102002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002012012303) and next prime (2002012012321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36439 + ... + 2001337.

Almost surely, 22002012012312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002012012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062319742000).

2002012012312 is an abundant number, since it is smaller than the sum of its proper divisors (2122627471688).

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

2002012012312 is a wasteful number, since it uses less digits than its factorization.

2002012012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965116 (or 1965112 counting only the distinct ones).

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

Adding to 2002012012312 its reverse (2132102102002), we get a palindrome (4134114114314).

The spelling of 2002012012312 in words is "two trillion, two billion, twelve million, twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 97 101 104 194 202 388 404 776 808 1261 1313 2522 2626 5044 5252 9797 10088 10504 19594 39188 78376 127361 254722 509444 1018888 1964899 3929798 7859596 15719192 25543687 51087374 102174748 190595203 198454799 204349496 381190406 396909598 762380812 793819196 1524761624 1587638392 2477737639 2579912387 4955475278 5159824774 9910950556 10319649548 19250115503 19821901112 20639299096 38500231006 77000462012 154000924024 250251501539 500503003078 1001006006156 2002012012312