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11335020080 = 2452347131071
BaseRepresentation
bin10101000111001111…
…01010111000110000
31002020221211200101112
422203213222320300
5141203231120310
65112432452452
7550615036526
oct124347527060
932227750345
1011335020080
11489736139a
1222440aa128
1310b8467397
1479759c316
154651b9705
hex2a39eae30

11335020080 has 80 divisors (see below), whose sum is σ = 28085059584. Its totient is φ = 4244570880.

The previous prime is 11335020077. The next prime is 11335020089. The reversal of 11335020080 is 8002053311.

11335020080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (11335020089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20945 + ... + 152015.

Almost surely, 211335020080 is an apocalyptic number.

11335020080 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 11335020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042529792).

11335020080 is an abundant number, since it is smaller than the sum of its proper divisors (16750039504).

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

11335020080 is a wasteful number, since it uses less digits than its factorization.

11335020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131154 (or 131148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 11335020080 its reverse (8002053311), we get a palindrome (19337073391).

The spelling of 11335020080 in words is "eleven billion, three hundred thirty-five million, twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 3760 4324 5405 8648 10810 17296 21620 43240 86480 131071 262142 524284 655355 1048568 1310710 2097136 2621420 3014633 5242840 6029266 6160337 10485680 12058532 12320674 15073165 24117064 24641348 30146330 30801685 48234128 49282696 60292660 61603370 98565392 120585320 123206740 141687751 241170640 246413480 283375502 492826960 566751004 708438755 1133502008 1416877510 2267004016 2833755020 5667510040 11335020080