Search a number
-
+
11303102331000 = 2332533373799833
BaseRepresentation
bin1010010001111011010101…
…1001100011100001111000
31111000120021122011110010200
42210132311121203201320
52440142223144043000
640012323514242200
72244423261402534
oct244366531434170
944016248143120
1011303102331000
11366868965a427
12132674a126360
1363cb54bb597c
142b110471abc4
151490463c2500
hexa47b5663878

11303102331000 has 384 divisors, whose sum is σ = 38422861963200. Its totient is φ = 2996982374400.

The previous prime is 11303102330969. The next prime is 11303102331011. The reversal of 11303102331000 is 13320130311.

It is a happy number.

11303102331000 is a `hidden beast` number, since 11 + 30 + 310 + 2 + 3 + 310 + 0 + 0 = 666.

11303102331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113031023310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149502084 + ... + 1149511916.

Almost surely, 211303102331000 is an apocalyptic number.

11303102331000 is a gapful number since it is divisible by the number (10) 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 11303102331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211430981600).

11303102331000 is an abundant number, since it is smaller than the sum of its proper divisors (27119759632200).

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

11303102331000 is a wasteful number, since it uses less digits than its factorization.

11303102331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11303102331000 its reverse (13320130311), we get a palindrome (11316422461311).

The spelling of 11303102331000 in words is "eleven trillion, three hundred three billion, one hundred two million, three hundred thirty-one thousand".