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2003121031320 = 2332541538928771
BaseRepresentation
bin11101001001100011010…
…100010100100010011000
321002111101221121200001200
4131021203110110202120
5230304342441000240
64132115431314200
7264502130555523
oct35114324244230
97074357550050
102003121031320
11702578667912
1228427521b960
13116b80044076
146cd4719dbba
153718becc930
hex1d263514898

2003121031320 has 384 divisors, whose sum is σ = 6871340548800. Its totient is φ = 505541836800.

The previous prime is 2003121031297. The next prime is 2003121031321. The reversal of 2003121031320 is 231301213002.

2003121031320 is a `hidden beast` number, since 2 + 0 + 0 + 312 + 1 + 0 + 31 + 320 = 666.

It is a super-2 number, since 2×20031210313202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003121031293 and 2003121031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003121031321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69608535 + ... + 69637305.

Almost surely, 22003121031320 is an apocalyptic number.

2003121031320 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 2003121031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435670274400).

2003121031320 is an abundant number, since it is smaller than the sum of its proper divisors (4868219517480).

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

2003121031320 is a wasteful number, since it uses less digits than its factorization.

2003121031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28971 (or 28964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003121031320 its reverse (231301213002), we get a palindrome (2234422244322).

The spelling of 2003121031320 in words is "two trillion, three billion, one hundred twenty-one million, thirty-one thousand, three hundred twenty".