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1122101220 = 2235372691879
BaseRepresentation
bin100001011100001…
…1110011111100100
32220012102122111110
41002320132133210
54244224214340
6303202305020
736543463062
oct10270363744
92805378443
101122101220
11526440289
12273958170
1314b61b626
14a9053032
156879e680
hex42e1e7e4

1122101220 has 96 divisors (see below), whose sum is σ = 3240518400. Its totient is φ = 289903104.

The previous prime is 1122101143. The next prime is 1122101249. The reversal of 1122101220 is 221012211.

1122101220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11221012202 = 2518222295850976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1122101196 and 1122101205.

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, 596241 + ... + 598119.

It is an arithmetic number, because the mean of its divisors is an integer number (33755400).

Almost surely, 21122101220 is an apocalyptic number.

1122101220 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 1122101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620259200).

1122101220 is an abundant number, since it is smaller than the sum of its proper divisors (2118417180).

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

1122101220 is a wasteful number, since it uses less digits than its factorization.

1122101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1122101220 is about 33497.7793293824. The cubic root of 1122101220 is about 1039.1478534946.

Adding to 1122101220 its reverse (221012211), we get a palindrome (1343113431).

It can be divided in two parts, 1 and 122101220, that added together give a palindrome (122101221).

The spelling of 1122101220 in words is "one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 269 370 444 538 555 740 807 1076 1110 1345 1614 1879 2220 2690 3228 3758 4035 5380 5637 7516 8070 9395 9953 11274 16140 18790 19906 22548 28185 29859 37580 39812 49765 56370 59718 69523 99530 112740 119436 139046 149295 199060 208569 278092 298590 347615 417138 505451 597180 695230 834276 1010902 1042845 1390460 1516353 2021804 2085690 2527255 3032706 4171380 5054510 6065412 7581765 10109020 15163530 18701687 30327060 37403374 56105061 74806748 93508435 112210122 187016870 224420244 280525305 374033740 561050610 1122101220