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201330432180 = 223251118502401
BaseRepresentation
bin1011101110000000111…
…0101001100010110100
3201020200001201122100100
42323200032221202310
511244311042312210
6232253453514100
720355104303013
oct2734016514264
9636601648310
10201330432180
1178424864629
12330291a2930
1315ca6b50a57
149a5ca84a7a
1553851765c0
hex2ee03a98b4

201330432180 has 36 divisors (see below), whose sum is σ = 610702311492. Its totient is φ = 53688115200.

The previous prime is 201330432179. The next prime is 201330432181. The reversal of 201330432180 is 81234033102.

201330432180 is a `hidden beast` number, since 2 + 0 + 1 + 330 + 4 + 321 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201330432179) and next prime (201330432181).

It can be written as a sum of positive squares in 2 ways, for example, as 66137437584 + 135192994596 = 257172^2 + 367686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201330432181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 559251021 + ... + 559251380.

It is an arithmetic number, because the mean of its divisors is an integer number (16963953097).

Almost surely, 2201330432180 is an apocalyptic number.

201330432180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330432180 is an abundant number, since it is smaller than the sum of its proper divisors (409371879312).

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

201330432180 is a wasteful number, since it uses less digits than its factorization.

201330432180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118502416 (or 1118502411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201330432180 its reverse (81234033102), we get a palindrome (282564465282).

The spelling of 201330432180 in words is "two hundred one billion, three hundred thirty million, four hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1118502401 2237004802 3355507203 4474009604 5592512005 6711014406 10066521609 11185024010 13422028812 16777536015 20133043218 22370048020 33555072030 40266086436 50332608045 67110144060 100665216090 201330432180