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13332201313200 = 243527111011428593
BaseRepresentation
bin1100001000000010010100…
…0111111001001110110000
31202012112202000212202102020
43002000211013321032300
53221413322014010300
644204421223351440
72544135243231450
oct302004507711660
952175660782366
1013332201313200
114280178087230
1215b3a532b2580
137592b4c503b3
143413d3ab1d60
15181c03d4a8a0
hexc20251f93b0

13332201313200 has 480 divisors, whose sum is σ = 53772918170112. Its totient is φ = 2742896640000.

The previous prime is 13332201313153. The next prime is 13332201313217. The reversal of 13332201313200 is 231310223331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8618104 + ... + 10046696.

Almost surely, 213332201313200 is an apocalyptic number.

13332201313200 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 13332201313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26886459085056).

13332201313200 is an abundant number, since it is smaller than the sum of its proper divisors (40440716856912).

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

13332201313200 is a wasteful number, since it uses less digits than its factorization.

13332201313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428733 (or 1428722 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13332201313200 its reverse (231310223331), we get a palindrome (13563511536531).

It can be divided in two parts, 1333220131 and 3200, that added together give a palindrome (1333223331).

The spelling of 13332201313200 in words is "thirteen trillion, three hundred thirty-two billion, two hundred one million, three hundred thirteen thousand, two hundred".