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20101231003200 = 2635237971975923
BaseRepresentation
bin1001001001000001011101…
…01110111100011001000000
32122011122210100110021211120
410210200232232330121000
510113314310114100300
6110430213353512240
74143160146242664
oct444405656743100
978148710407746
1020101231003200
11644a97a955056
122307905712680
13b2a6cbb51429
144d6c9499c8a4
1524cd2c1d23a0
hex12482ebbc640

20101231003200 has 672 divisors, whose sum is σ = 68788417509504. Its totient is φ = 5134618460160.

The previous prime is 20101231003199. The next prime is 20101231003213. The reversal of 20101231003200 is 230013210102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20101231003200.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3393755439 + ... + 3393761361.

It is an arithmetic number, because the mean of its divisors is an integer number (102363716532).

Almost surely, 220101231003200 is an apocalyptic number.

20101231003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101231003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34394208754752).

20101231003200 is an abundant number, since it is smaller than the sum of its proper divisors (48687186506304).

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

20101231003200 is a wasteful number, since it uses less digits than its factorization.

20101231003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20101231003200 its reverse (230013210102), we get a palindrome (20331244213302).

The spelling of 20101231003200 in words is "twenty trillion, one hundred one billion, two hundred thirty-one million, three thousand, two hundred".