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2100423141 = 32376307577
BaseRepresentation
bin111110100110001…
…1110100111100101
312102101022112212200
41331030132213211
513300202020031
6544231205113
7103023205425
oct17514364745
95371275780
102100423141
119886a7aa3
124a7516799
1327620863b
1415cd5a485
15c45ec8e6
hex7d31e9e5

2100423141 has 12 divisors (see below), whose sum is σ = 3115943532. Its totient is φ = 1362436416.

The previous prime is 2100423139. The next prime is 2100423167. The reversal of 2100423141 is 1413240012.

2100423141 is a `hidden beast` number, since 2 + 100 + 423 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1135016100 + 965407041 = 33690^2 + 31071^2 .

It is not a de Polignac number, because 2100423141 - 21 = 2100423139 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100423041) 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 11 ways as a sum of consecutive naturals, for example, 3153456 + ... + 3154121.

It is an arithmetic number, because the mean of its divisors is an integer number (259661961).

Almost surely, 22100423141 is an apocalyptic number.

It is an amenable number.

2100423141 is a deficient number, since it is larger than the sum of its proper divisors (1015520391).

2100423141 is a wasteful number, since it uses less digits than its factorization.

2100423141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307620 (or 6307617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2100423141 is about 45830.3735638277. The cubic root of 2100423141 is about 1280.6651696157.

Adding to 2100423141 its reverse (1413240012), we get a palindrome (3513663153).

The spelling of 2100423141 in words is "two billion, one hundred million, four hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 6307577 18922731 56768193 233380349 700141047 2100423141