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2002031412 = 2232319736821
BaseRepresentation
bin111011101010100…
…1001001100110100
312011112011201210120
41313111021030310
513100010001122
6530354251540
7100416662163
oct16725111464
95145151716
102002031412
11938104917
1247a586bb0
1325ba08b94
1414dc673da
15bab6475c
hex77549334

2002031412 has 48 divisors (see below), whose sum is σ = 4899388032. Its totient is φ = 635071360.

The previous prime is 2002031371. The next prime is 2002031417. The reversal of 2002031412 is 2141302002.

It is a junction number, because it is equal to n+sod(n) for n = 2002031391 and 2002031400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002031417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35962 + ... + 72782.

It is an arithmetic number, because the mean of its divisors is an integer number (102070584).

Almost surely, 22002031412 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 2002031412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449694016).

2002031412 is an abundant number, since it is smaller than the sum of its proper divisors (2897356620).

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

2002031412 is a wasteful number, since it uses less digits than its factorization.

2002031412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37048 (or 37046 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002031412 is about 44744.0656623870. The cubic root of 2002031412 is about 1260.3474753431.

Adding to 2002031412 its reverse (2141302002), we get a palindrome (4143333414).

The spelling of 2002031412 in words is "two billion, two million, thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 276 394 591 788 1182 2364 4531 9062 13593 18124 27186 36821 54372 73642 110463 147284 220926 441852 846883 1693766 2540649 3387532 5081298 7253737 10162596 14507474 21761211 29014948 43522422 87044844 166835951 333671902 500507853 667343804 1001015706 2002031412