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136115100000 = 253355114583
BaseRepresentation
bin111111011000100010…
…1111001100101100000
3111000100002120111211000
41332301011321211200
54212230431200000
6142310322552000
712556026155145
oct1766105714540
9430302514730
10136115100000
11527a9475290
1222468808600
13cab2a700b9
1468336ba3cc
153819b35000
hex1fb1179960

136115100000 has 576 divisors, whose sum is σ = 541450344960. Its totient is φ = 32990400000.

The previous prime is 136115099933. The next prime is 136115100001. The reversal of 136115100000 is 1511631.

136115100000 is a `hidden beast` number, since 1 + 3 + 611 + 51 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136115100001) 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 95 ways as a sum of consecutive naturals, for example, 29697709 + ... + 29702291.

It is an arithmetic number, because the mean of its divisors is an integer number (940017960).

Almost surely, 2136115100000 is an apocalyptic number.

136115100000 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 136115100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270725172480).

136115100000 is an abundant number, since it is smaller than the sum of its proper divisors (405335244960).

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

136115100000 is an equidigital number, since it uses as much as digits as its factorization.

136115100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 136115100000 its reverse (1511631), we get a palindrome (136116611631).

The spelling of 136115100000 in words is "one hundred thirty-six billion, one hundred fifteen million, one hundred thousand".