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11331132013020 = 22351131733964373
BaseRepresentation
bin1010010011100011110000…
…0110010011100111011100
31111010020122001221211100210
42210320330012103213130
52441122124243404040
640033241123452420
72246435004642231
oct244707406234734
944106561854323
1011331132013020
11367956268a396
121330071227110
136426a0cc6a31
142b26031d5788
15149b3704d480
hexa4e3c1939dc

11331132013020 has 96 divisors (see below), whose sum is σ = 32026443930432. Its totient is φ = 2993163808768.

The previous prime is 11331132013001. The next prime is 11331132013039. The reversal of 11331132013020 is 2031023113311.

It is a happy number.

11331132013020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11331132013001) and next prime (11331132013039).

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, 11267554 + ... + 12231926.

It is an arithmetic number, because the mean of its divisors is an integer number (333608790942).

Almost surely, 211331132013020 is an apocalyptic number.

11331132013020 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 11331132013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013221965216).

11331132013020 is an abundant number, since it is smaller than the sum of its proper divisors (20695311917412).

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

11331132013020 is a wasteful number, since it uses less digits than its factorization.

11331132013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966231 (or 966229 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331132013020 its reverse (2031023113311), we get a palindrome (13362155126331).

The spelling of 11331132013020 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 1733 2260 3390 3466 5199 6780 6932 8665 10398 17330 20796 25995 34660 51990 103980 195829 391658 587487 783316 964373 979145 1174974 1928746 1958290 2349948 2893119 2937435 3857492 3916580 4821865 5786238 5874870 9643730 11572476 11749740 14465595 19287460 28931190 57862380 108974149 217948298 326922447 435896596 544870745 653844894 1089741490 1307689788 1634612235 1671258409 2179482980 3269224470 3342516818 5013775227 6538448940 6685033636 8356292045 10027550454 16712584090 20055100908 25068876135 33425168180 50137752270 100275504540 188852200217 377704400434 566556600651 755408800868 944261001085 1133113201302 1888522002170 2266226402604 2832783003255 3777044004340 5665566006510 11331132013020