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201342730680 = 2332572131751647
BaseRepresentation
bin1011101110000011110…
…1100100000110111000
3201020200220212110201100
42323200331210012320
511244322214340210
6232255013251400
720355313654500
oct2734075440670
9636626773640
10201342730680
11784307a4683
1233031333b60
1315ca9568880
149a60566a00
1553862a55c0
hex2ee0f641b8

201342730680 has 576 divisors, whose sum is σ = 867990090240. Its totient is φ = 39981441024.

The previous prime is 201342730643. The next prime is 201342730681. The reversal of 201342730680 is 86037243102.

It is a happy number.

201342730680 is a `hidden beast` number, since 2 + 0 + 1 + 342 + 7 + 306 + 8 + 0 = 666.

201342730680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201342730681) 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 143 ways as a sum of consecutive naturals, for example, 3872617 + ... + 3924263.

It is an arithmetic number, because the mean of its divisors is an integer number (1506927240).

Almost surely, 2201342730680 is an apocalyptic number.

201342730680 is a gapful number since it is divisible by the number (20) 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 201342730680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433995045120).

201342730680 is an abundant number, since it is smaller than the sum of its proper divisors (666647359560).

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

201342730680 is a wasteful number, since it uses less digits than its factorization.

201342730680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51708 (or 51694 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 201342730680 its reverse (86037243102), we get a palindrome (287379973782).

The spelling of 201342730680 in words is "two hundred one billion, three hundred forty-two million, seven hundred thirty thousand, six hundred eighty".