Search a number
-
+
201132771840 = 29355711131719
BaseRepresentation
bin1011101101010001110…
…0101000101000000000
3201020011021210110100000
42323110130220220000
511243404442144330
6232222113200000
720350154231550
oct2732434505000
9636137713300
10201132771840
117833322a480
1232b92b60000
1315c74c05680
149a40711160
155372b30560
hex2ed4728a00

201132771840 has 3840 divisors, whose sum is σ = 1081010810880. Its totient is φ = 34398535680.

The previous prime is 201132771839. The next prime is 201132771841. The reversal of 201132771840 is 48177231102.

201132771840 is a `hidden beast` number, since 201 + 1 + 3 + 277 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201132771839) and next prime (201132771841).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 201132771795 and 201132771804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201132771841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10585935351 + ... + 10585935369.

It is an arithmetic number, because the mean of its divisors is an integer number (281513232).

Almost surely, 2201132771840 is an apocalyptic number.

201132771840 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 201132771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540505405440).

201132771840 is an abundant number, since it is smaller than the sum of its proper divisors (879878039040).

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

201132771840 is a wasteful number, since it uses less digits than its factorization.

201132771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 201132771840 in words is "two hundred one billion, one hundred thirty-two million, seven hundred seventy-one thousand, eight hundred forty".