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11331132132220 = 22519211514727457
BaseRepresentation
bin1010010011100011110000…
…0110110000101101111100
31111010020122002011212212121
42210320330012300231330
52441122124311212340
640033241130212324
72246435005646605
oct244707406605574
944106562155777
1011331132132220
1136795627609aa
1213300712840a4
136426a1039074
142b2603226dac
15149b3707394a
hexa4e3c1b0b7c

11331132132220 has 96 divisors (see below), whose sum is σ = 25172281854720. Its totient is φ = 4272566538240.

The previous prime is 11331132132211. The next prime is 11331132132247. The reversal of 11331132132220 is 2223123113311.

11331132132220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412672732 + ... + 412700188.

It is an arithmetic number, because the mean of its divisors is an integer number (262211269320).

Almost surely, 211331132132220 is an apocalyptic number.

11331132132220 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 11331132132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12586140927360).

11331132132220 is an abundant number, since it is smaller than the sum of its proper divisors (13841149722500).

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

11331132132220 is a wasteful number, since it uses less digits than its factorization.

11331132132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32843 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11331132132220 its reverse (2223123113311), we get a palindrome (13554255245531).

The spelling of 11331132132220 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 211 380 422 844 1055 2110 4009 4220 5147 8018 10294 16036 20045 20588 25735 27457 40090 51470 54914 80180 97793 102940 109828 137285 195586 274570 391172 488965 521683 549140 977930 1043366 1086017 1955860 2086732 2172034 2608415 4344068 5216830 5430085 5793427 10433660 10860170 11586854 20634323 21720340 23173708 28967135 41268646 57934270 82537292 103171615 110075113 115868540 141321179 206343230 220150226 282642358 412686460 440300452 550375565 565284716 706605895 1100751130 1413211790 2201502260 2685102401 2826423580 5370204802 10740409604 13425512005 26851024010 29818768769 53702048020 59637537538 119275075076 149093843845 298187687690 566556606611 596375375380 1133113213222 2266226426444 2832783033055 5665566066110 11331132132220