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116129226312 = 233411212172
BaseRepresentation
bin110110000100111010…
…1110101111001001000
3102002202020121221020000
41230021311311321020
53400313040220222
6125203220203000
711250535064631
oct1541165657110
9362666557200
10116129226312
1145282a14600
121a60b539460
13ac492a0238
145899230888
15304a2599ac
hex1b09d75e48

116129226312 has 180 divisors, whose sum is σ = 357821498265. Its totient is φ = 35161758720.

The previous prime is 116129226307. The next prime is 116129226313. The reversal of 116129226312 is 213622921611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

116129226312 is a `hidden beast` number, since 1 + 1 + 6 + 12 + 9 + 2 + 2 + 631 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112900032036 + 3229194276 = 336006^2 + 56826^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=240966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116129226313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95421928 + ... + 95423144.

Almost surely, 2116129226312 is an apocalyptic number.

116129226312 is a gapful number since it is divisible by the number (12) 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 116129226312

116129226312 is an abundant number, since it is smaller than the sum of its proper divisors (241692271953).

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

116129226312 is an equidigital number, since it uses as much as digits as its factorization.

116129226312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1233 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 116129226312 in words is "one hundred sixteen billion, one hundred twenty-nine million, two hundred twenty-six thousand, three hundred twelve".