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118012860900 = 2234521123472
BaseRepresentation
bin110110111101000011…
…1010101100111100100
3102021121112000111010000
41231322013111213210
53413142243022100
6130114145101300
711345316523644
oct1557207254744
9367545014100
10118012860900
114605a202100
121aa56327830
13b1895c3b0c
1459d7478524
15310a7d3900
hex1b7a1d59e4

118012860900 has 405 divisors, whose sum is σ = 421705301017. Its totient is φ = 28526731200.

The previous prime is 118012860887. The next prime is 118012860907. The reversal of 118012860900 is 9068210811.

The square root of 118012860900 is 343530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42484629924 + 75528230976 = 206118^2 + 274824^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (118012860907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 340094527 + ... + 340094873.

Almost surely, 2118012860900 is an apocalyptic number.

118012860900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118012860900 is the 343530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118012860900

118012860900 is an abundant number, since it is smaller than the sum of its proper divisors (303692440117).

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

118012860900 is a wasteful number, since it uses less digits than its factorization.

118012860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Multiplying 118012860900 by its sum of digits (36), we get a square (4248462992400 = 20611802).

118012860900 divided by its sum of digits (36) gives a square (3278135025 = 572552).

The spelling of 118012860900 in words is "one hundred eighteen billion, twelve million, eight hundred sixty thousand, nine hundred".