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131552126200 = 235211233271947
BaseRepresentation
bin111101010000100011…
…1100010010011111000
3110120120002112102111101
41322201013202103320
54123404321014300
6140233442341144
712334661423425
oct1724107422370
9416502472441
10131552126200
1150877822560
12215b465a7b4
13c536617bc1
14651d69ad4c
15364e257b6a
hex1ea11e24f8

131552126200 has 192 divisors, whose sum is σ = 336687736320. Its totient is φ = 47405952000.

The previous prime is 131552126183. The next prime is 131552126207. The reversal of 131552126200 is 2621255131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131552126207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138914127 + ... + 138915073.

It is an arithmetic number, because the mean of its divisors is an integer number (1753581960).

Almost surely, 2131552126200 is an apocalyptic number.

131552126200 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 131552126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168343868160).

131552126200 is an abundant number, since it is smaller than the sum of its proper divisors (205135610120).

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

131552126200 is a wasteful number, since it uses less digits than its factorization.

131552126200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 131552 and 126200, that added together give a palindrome (257752).

The spelling of 131552126200 in words is "one hundred thirty-one billion, five hundred fifty-two million, one hundred twenty-six thousand, two hundred".