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11331323123220 = 22325836899109937
BaseRepresentation
bin1010010011100100011101…
…1111010101011000010100
31111010021010101120020021100
42210321013133111120110
52441123022204420340
640033312111550100
72246442515232642
oct244710737253024
944107111506240
1011331323123220
113679650550301
12133010522b330
1364270178a8a9
142b2620742192
15149b48bed830
hexa4e477d5614

11331323123220 has 144 divisors (see below), whose sum is σ = 34791155380800. Its totient is φ = 2984820446208.

The previous prime is 11331323123209. The next prime is 11331323123269. The reversal of 11331323123220 is 2232132313311.

11331323123220 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 323 + 12 + 322 + 0 = 666.

11331323123220 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 47 ways as a sum of consecutive naturals, for example, 103016092 + ... + 103126028.

It is an arithmetic number, because the mean of its divisors is an integer number (241605245700).

Almost surely, 211331323123220 is an apocalyptic number.

11331323123220 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 11331323123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395577690400).

11331323123220 is an abundant number, since it is smaller than the sum of its proper divisors (23459832257580).

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

11331323123220 is a wasteful number, since it uses less digits than its factorization.

11331323123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116934 (or 116929 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331323123220 its reverse (2232132313311), we get a palindrome (13563455436531).

The spelling of 11331323123220 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 6899 7470 13798 14940 20697 27596 34495 41394 62091 68990 82788 103485 109937 124182 137980 206970 219874 248364 310455 329811 413940 439748 549685 572617 620910 659622 989433 1099370 1145234 1241820 1319244 1649055 1717851 1978866 2198740 2290468 2863085 3298110 3435702 3957732 4947165 5153553 5726170 6596220 6871404 8589255 9124771 9894330 10307106 11452340 17178510 18249542 19788660 20614212 25767765 27374313 34357020 36499084 45623855 51535530 54748626 82122939 91247710 103071060 109497252 136871565 164245878 182495420 273743130 328491756 410614695 547486260 758455363 821229390 1516910726 1642458780 2275366089 3033821452 3792276815 4550732178 6826098267 7584553630 9101464356 11376830445 13652196534 15169107260 22753660890 27304393068 34130491335 45507321780 62951795129 68260982670 125903590258 136521965340 188855385387 251807180516 314758975645 377710770774 566566156161 629517951290 755421541548 944276926935 1133132312322 1259035902580 1888553853870 2266264624644 2832830780805 3777107707740 5665661561610 11331323123220