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2231213111120 = 245782911874049
BaseRepresentation
bin100000011101111110101…
…010100011011101010000
321220022011002002212110002
4200131332222203131100
5243024011024023440
64425001040225132
7320125353344030
oct40357652433520
97808132085402
102231213111120
117902856a7394
1230051090b1a8
13132530380766
1479dc415d8c0
153d08b806115
hex2077eaa3750

2231213111120 has 160 divisors (see below), whose sum is σ = 5942271456000. Its totient is φ = 763232329728.

The previous prime is 2231213111117. The next prime is 2231213111161. The reversal of 2231213111120 is 211113121322.

2231213111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312131111203 (a number of 38 digits) contains 333 as substring.

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 = 2231213111092 and 2231213111101.

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, 551050856 + ... + 551054904.

It is an arithmetic number, because the mean of its divisors is an integer number (37139196600).

Almost surely, 22231213111120 is an apocalyptic number.

2231213111120 is a gapful number since it is divisible by the number (20) 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 2231213111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971135728000).

2231213111120 is an abundant number, since it is smaller than the sum of its proper divisors (3711058344880).

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

2231213111120 is a wasteful number, since it uses less digits than its factorization.

2231213111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2231213111120 its reverse (211113121322), we get a palindrome (2442326232442).

The spelling of 2231213111120 in words is "two trillion, two hundred thirty-one billion, two hundred thirteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 829 1187 1658 2374 3316 4049 4145 4748 5803 5935 6632 8098 8290 8309 9496 11606 11870 13264 16196 16580 16618 18992 20245 23212 23740 28343 29015 32392 33160 33236 40490 41545 46424 47480 56686 58030 64784 66320 66472 80980 83090 92848 94960 113372 116060 132944 141715 161960 166180 226744 232120 283430 323920 332360 453488 464240 566860 664720 984023 1133720 1968046 2267440 3356621 3936092 4806163 4920115 6713242 6888161 7872184 9612326 9840230 13426484 13776322 15744368 16783105 19224652 19680460 23496347 24030815 26852968 27552644 33566210 33643141 34440805 38449304 39360920 46992694 48061630 53705936 55105288 67132420 67286282 68881610 76898608 78721840 93985388 96123260 110210576 117481735 134264840 134572564 137763220 168215705 187970776 192246520 234963470 268529680 269145128 275526440 336431410 375941552 384493040 469926940 538290256 551052880 672862820 939853880 1345725640 1879707760 2691451280 3984309127 7968618254 15937236508 19921545635 27890163889 31874473016 39843091270 55780327778 63748946032 79686182540 111560655556 139450819445 159372365080 223121311112 278901638890 318744730160 446242622224 557803277780 1115606555560 2231213111120