Search a number
-
+
212331495107088 = 243272711792367797
BaseRepresentation
bin110000010001110101000111…
…010101110010101000010000
31000211210200200222020101211200
4300101311013111302220100
5210312314400221411323
62031331424154111200
762503305250260300
oct6021650725625020
91024720628211750
10212331495107088
1161723310576575
121b99332411b500
139162a0a8405b6
143a60c8357b600
151983369677443
hexc11d47572a10

212331495107088 has 360 divisors, whose sum is σ = 704903314639680. Its totient is φ = 59477520130560.

The previous prime is 212331495107059. The next prime is 212331495107089. The reversal of 212331495107088 is 880701594133212.

212331495107088 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 1 + 49 + 510 + 7 + 0 + 88 = 666.

It is a super-2 number, since 2×2123314951070882 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212331495107089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88490806 + ... + 90858602.

It is an arithmetic number, because the mean of its divisors is an integer number (1958064762888).

Almost surely, 2212331495107088 is an apocalyptic number.

212331495107088 is a gapful number since it is divisible by the number (28) 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 212331495107088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352451657319840).

212331495107088 is an abundant number, since it is smaller than the sum of its proper divisors (492571819532592).

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

212331495107088 is a wasteful number, since it uses less digits than its factorization.

212331495107088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368075 (or 2368059 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 212331495107088 in words is "two hundred twelve trillion, three hundred thirty-one billion, four hundred ninety-five million, one hundred seven thousand, eighty-eight".