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11031132120320 = 285131303508771
BaseRepresentation
bin1010000010000110001010…
…1101100010010100000000
31110001120021120020020210202
42200201202231202110000
52421213224310322240
635243344312544332
72215654510634444
oct240414255422400
943046246206722
1011031132120320
113573305556774
1212a1aa79b20a8
13620301204c20
142a1ca40c0824
15141e298b1315
hexa0862b62500

11031132120320 has 144 divisors (see below), whose sum is σ = 28477442243712. Its totient is φ = 4069899509760.

The previous prime is 11031132120301. The next prime is 11031132120331. The reversal of 11031132120320 is 2302123113011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11031132120292 and 11031132120301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21427535 + ... + 21936305.

Almost surely, 211031132120320 is an apocalyptic number.

11031132120320 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 11031132120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238721121856).

11031132120320 is an abundant number, since it is smaller than the sum of its proper divisors (17446310123392).

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

11031132120320 is a wasteful number, since it uses less digits than its factorization.

11031132120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510108 (or 510094 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11031132120320 its reverse (2302123113011), we get a palindrome (13333255233331).

The spelling of 11031132120320 in words is "eleven trillion, thirty-one billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1303 1664 2080 2606 3328 4160 5212 6515 8320 10424 13030 16640 16939 20848 26060 33878 41696 52120 67756 83392 84695 104240 135512 166784 169390 208480 271024 333568 338780 416960 508771 542048 677560 833920 1017542 1084096 1355120 1667840 2035084 2168192 2543855 2710240 4070168 4336384 5087710 5420480 6614023 8140336 10175420 10840960 13228046 16280672 20350840 21681920 26456092 32561344 33070115 40701680 52912184 65122688 66140230 81403360 105824368 130245376 132280460 162806720 211648736 264560920 325613440 423297472 529121840 651226880 662928613 846594944 1058243680 1325857226 1693189888 2116487360 2651714452 3314643065 4232974720 5303428904 6629286130 8465949440 8618071969 10606857808 13258572260 17236143938 21213715616 26517144520 34472287876 42427431232 43090359845 53034289040 68944575752 84854862464 86180719690 106068578080 137889151504 169709724928 172361439380 212137156160 275778303008 344722878760 424274312320 551556606016 689445757520 848548624640 1103113212032 1378891515040 2206226424064 2757783030080 5515566060160 11031132120320