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1122010133220 = 2233510120572243
BaseRepresentation
bin10000010100111101000…
…000111111001011100100
310222021002211000101101000
4100110331000333023210
5121340334043230340
62215235551033300
7144030312526104
oct20247500771344
93867084011330
101122010133220
113a2929518939
12161552b0b830
1381a60a67642
143c43c725204
151e2bce31d30
hex1053d03f2e4

1122010133220 has 96 divisors (see below), whose sum is σ = 3525259731840. Its totient is φ = 296240284800.

The previous prime is 1122010133183. The next prime is 1122010133227. The reversal of 1122010133220 is 223310102211.

1122010133220 is a `hidden beast` number, since 11 + 220 + 101 + 332 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122010133193 and 1122010133202.

It is not an unprimeable number, because it can be changed into a prime (1122010133227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10231582 + ... + 10340661.

It is an arithmetic number, because the mean of its divisors is an integer number (36721455540).

Almost surely, 21122010133220 is an apocalyptic number.

1122010133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122010133220 is an abundant number, since it is smaller than the sum of its proper divisors (2403249598620).

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

1122010133220 is a wasteful number, since it uses less digits than its factorization.

1122010133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572362 (or 20572354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1122010133220 its reverse (223310102211), we get a palindrome (1345320235431).

The spelling of 1122010133220 in words is "one trillion, one hundred twenty-two billion, ten million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 909 1010 1212 1515 1818 2020 2727 3030 3636 4545 5454 6060 9090 10908 13635 18180 27270 54540 20572243 41144486 61716729 82288972 102861215 123433458 185150187 205722430 246866916 308583645 370300374 411444860 555450561 617167290 740600748 925750935 1110901122 1234334580 1851501870 2077796543 2221802244 2777252805 3703003740 4155593086 5554505610 6233389629 8311186172 10388982715 11109011220 12466779258 18700168887 20777965430 24933558516 31166948145 37400337774 41555930860 56100506661 62333896290 74800675548 93500844435 112201013322 124667792580 187001688870 224402026644 280502533305 374003377740 561005066610 1122010133220