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134330200432200 = 23345247917311039
BaseRepresentation
bin11110100010110000101111…
…111000010001111001001000
3122121121211201122001221010000
4132202300233320101321020
5120101331222302312300
61153410235301123000
740203015410113443
oct3642605770217110
9577554648057100
10134330200432200
1139890133187873
12130961143b9460
1359c538bc50536
14252588b54065a
15107e38422dc00
hex7a2c2fe11e48

134330200432200 has 240 divisors, whose sum is σ = 467522719488000. Its totient is φ = 35746601028480.

The previous prime is 134330200432163. The next prime is 134330200432201. The reversal of 134330200432200 is 2234002033431.

134330200432200 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 0 + 20 + 0 + 432 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134330200432201) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 895720 + ... + 16415319.

It is an arithmetic number, because the mean of its divisors is an integer number (1948011331200).

Almost surely, 2134330200432200 is an apocalyptic number.

134330200432200 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 134330200432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233761359744000).

134330200432200 is an abundant number, since it is smaller than the sum of its proper divisors (333192519055800).

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

134330200432200 is a wasteful number, since it uses less digits than its factorization.

134330200432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17311546 (or 17311528 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 134330200432200 its reverse (2234002033431), we get a palindrome (136564202465631).

The spelling of 134330200432200 in words is "one hundred thirty-four trillion, three hundred thirty billion, two hundred million, four hundred thirty-two thousand, two hundred".