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11331131322320 = 245141639141529
BaseRepresentation
bin1010010011100011110000…
…0011101010111111010000
31111010020122000122201220022
42210320330003222333100
52441122124104303240
640033241101003012
72246434666034435
oct244707403527720
944106560581808
1011331131322320
113679562258467
121330070b53468
136426a0b14534
142b2603095b8c
15149b36e639b5
hexa4e3c0eafd0

11331131322320 has 20 divisors (see below), whose sum is σ = 26344880324580. Its totient is φ = 4532452528896.

The previous prime is 11331131322299. The next prime is 11331131322349. The reversal of 11331131322320 is 2322313113311.

11331131322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2228045816896 + 9103085505424 = 1492664^2 + 3017132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×113311313223202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11331131322320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70819570685 + ... + 70819570844.

It is an arithmetic number, because the mean of its divisors is an integer number (1317244016229).

Almost surely, 211331131322320 is an apocalyptic number.

11331131322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331131322320 is an abundant number, since it is smaller than the sum of its proper divisors (15013749002260).

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

11331131322320 is a wasteful number, since it uses less digits than its factorization.

11331131322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141639141542 (or 141639141536 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11331131322320 its reverse (2322313113311), we get a palindrome (13653444435631).

The spelling of 11331131322320 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 141639141529 283278283058 566556566116 708195707645 1133113132232 1416391415290 2266226264464 2832782830580 5665565661160 11331131322320