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11331321022120 = 23511671277300997
BaseRepresentation
bin1010010011100100011101…
…0111010100011010101000
31111010021010020121111002211
42210321013113110122220
52441123021140201440
640033311554534504
72246442461332201
oct244710727243250
944107106544084
1011331321022120
11367964a345760
121330104597434
13642701203438
142b26203565a8
15149b48935eea
hexa4e475d46a8

11331321022120 has 128 divisors (see below), whose sum is σ = 28250564607360. Its totient is φ = 4055788661760.

The previous prime is 11331321022079. The next prime is 11331321022181. The reversal of 11331321022120 is 2122012313311.

It is a super-2 number, since 2×113313210221202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11331321022091 and 11331321022100.

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, 37495462 + ... + 37796458.

It is an arithmetic number, because the mean of its divisors is an integer number (220707535995).

Almost surely, 211331321022120 is an apocalyptic number.

11331321022120 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 11331321022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125282303680).

11331321022120 is an abundant number, since it is smaller than the sum of its proper divisors (16919243585240).

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

11331321022120 is a wasteful number, since it uses less digits than its factorization.

11331321022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302363 (or 302359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11331321022120 its reverse (2122012313311), we get a palindrome (13453333335431).

The spelling of 11331321022120 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1277 1340 1474 2554 2680 2948 3685 5108 5896 6385 7370 10216 12770 14047 14740 25540 28094 29480 51080 56188 70235 85559 112376 140470 171118 280940 300997 342236 427795 561880 601994 684472 855590 941149 1203988 1504985 1711180 1882298 2407976 3009970 3310967 3422360 3764596 4705745 6019940 6621934 7529192 9411490 12039880 13243868 16554835 18822980 20166799 26487736 33109670 37645960 40333598 66219340 80667196 100833995 132438680 161334392 201667990 221834789 384373169 403335980 443669578 768746338 806671960 887339156 1109173945 1537492676 1774678312 1921865845 2218347890 3074985352 3843731690 4228104859 4436695780 7687463380 8456209718 8873391560 15374926760 16912419436 21140524295 25753002323 33824838872 42281048590 51506004646 84562097180 103012009292 128765011615 169124194360 206024018584 257530023230 283283025553 515060046460 566566051106 1030120092920 1133132102212 1416415127765 2266264204424 2832830255530 5665660511060 11331321022120