Search a number
-
+
13132302222200 = 23527341137173197
BaseRepresentation
bin1011111100011001101000…
…1101011000001101111000
31201111102202201110210001012
42333012122031120031320
53210124423332102300
643532521340213052
72523530456054000
oct277063215301570
951442681423035
1013132302222200
1142034182784a7
12158116553a188
137434a88026b5
1433586d17b000
1517b9046aa435
hexbf19a358378

13132302222200 has 768 divisors, whose sum is σ = 37141185312000. Its totient is φ = 4313409945600.

The previous prime is 13132302222163. The next prime is 13132302222253. The reversal of 13132302222200 is 222220323131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66661432502 + ... + 66661432698.

It is an arithmetic number, because the mean of its divisors is an integer number (48360918375).

Almost surely, 213132302222200 is an apocalyptic number.

13132302222200 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 13132302222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570592656000).

13132302222200 is an abundant number, since it is smaller than the sum of its proper divisors (24008883089800).

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

13132302222200 is a wasteful number, since it uses less digits than its factorization.

13132302222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13132302222200 its reverse (222220323131), we get a palindrome (13354522545331).

The spelling of 13132302222200 in words is "thirteen trillion, one hundred thirty-two billion, three hundred two million, two hundred twenty-two thousand, two hundred".