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13003230220200 = 233252113726965983
BaseRepresentation
bin1011110100111000110011…
…1010110000111110101000
31201001002121110201201100200
42331032030322300332220
53201021103414021300
643353333531232200
72511311111125113
oct275161472607650
951032543651320
1013003230220200
114163703513a70
1215601435a8660
13734278c7820c
1432d50703957a
1517839d054200
hexbd38ceb0fa8

13003230220200 has 576 divisors, whose sum is σ = 49109278233600. Its totient is φ = 3055652812800.

The previous prime is 13003230220181. The next prime is 13003230220259. The reversal of 13003230220200 is 202203230031.

It is a happy number.

13003230220200 is a `hidden beast` number, since 1 + 300 + 323 + 0 + 2 + 20 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197036409 + ... + 197102391.

It is an arithmetic number, because the mean of its divisors is an integer number (85259163600).

Almost surely, 213003230220200 is an apocalyptic number.

13003230220200 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 13003230220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554639116800).

13003230220200 is an abundant number, since it is smaller than the sum of its proper divisors (36106048013400).

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

13003230220200 is a wasteful number, since it uses less digits than its factorization.

13003230220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66322 (or 66310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13003230220200 its reverse (202203230031), we get a palindrome (13205433450231).

The spelling of 13003230220200 in words is "thirteen trillion, three billion, two hundred thirty million, two hundred twenty thousand, two hundred".