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2003211320000 = 265411173153163
BaseRepresentation
bin11101001001101000101…
…100101111101011000000
321002111122020111210211212
4131021220230233223000
5230310034044220000
64132132414425252
7264504305163032
oct35115054575300
97074566453755
102003211320000
11702614626060
1228429b502228
13116b95967517
146cd55183c52
1537194db4c35
hex1d268b2fac0

2003211320000 has 1120 divisors, whose sum is σ = 6071501297664. Its totient is φ = 646963200000.

The previous prime is 2003211319999. The next prime is 2003211320069. The reversal of 2003211320000 is 231123002.

It is a happy number.

It is a super-2 number, since 2×20032113200002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12289639919 + ... + 12289640081.

Almost surely, 22003211320000 is an apocalyptic number.

2003211320000 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 2003211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035750648832).

2003211320000 is an abundant number, since it is smaller than the sum of its proper divisors (4068289977664).

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

2003211320000 is a wasteful number, since it uses less digits than its factorization.

2003211320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2003211320000 its reverse (231123002), we get a palindrome (2003442443002).

The spelling of 2003211320000 in words is "two trillion, three billion, two hundred eleven million, three hundred twenty thousand".