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13003203300 = 22352414783271
BaseRepresentation
bin11000001110000110…
…10010001011100100
31020120012211011120020
430013003102023210
5203112310001200
65550143435140
7640142255463
oct140703221344
936505734506
1013003203300
115572a7310a
12262a8b5ab0
1312c2c53a49
148b4d609da
15511885ea0
hex3070d22e4

13003203300 has 288 divisors, whose sum is σ = 39981441024. Its totient is φ = 3259008000.

The previous prime is 13003203233. The next prime is 13003203319. The reversal of 13003203300 is 330230031.

It is a super-2 number, since 2×130032033002 (a number of 21 digits) contains 22 as substring.

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 13003203300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47982165 + ... + 47982435.

It is an arithmetic number, because the mean of its divisors is an integer number (138824448).

Almost surely, 213003203300 is an apocalyptic number.

13003203300 is a gapful number since it is divisible by the number (10) 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 13003203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990720512).

13003203300 is an abundant number, since it is smaller than the sum of its proper divisors (26978237724).

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

13003203300 is a wasteful number, since it uses less digits than its factorization.

13003203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 13003203300 its reverse (330230031), we get a palindrome (13333433331).

The spelling of 13003203300 in words is "thirteen billion, three million, two hundred three thousand, three hundred".