Search a number
-
+
1122100020 = 223352637901
BaseRepresentation
bin100001011100001…
…1110001100110100
32220012102120212000
41002320132030310
54244224200040
6303202255300
736543456426
oct10270361464
92805376760
101122100020
1152643a398
12273957530
1314b61ac12
14a9052816
156879e130
hex42e1e334

1122100020 has 96 divisors (see below), whose sum is σ = 3504695040. Its totient is φ = 298051200.

The previous prime is 1122099959. The next prime is 1122100033. The reversal of 1122100020 is 200012211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1122099975 and 1122100011.

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, 138070 + ... + 145970.

It is an arithmetic number, because the mean of its divisors is an integer number (36507240).

Almost surely, 21122100020 is an apocalyptic number.

1122100020 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 1122100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752347520).

1122100020 is an abundant number, since it is smaller than the sum of its proper divisors (2382595020).

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

1122100020 is a wasteful number, since it uses less digits than its factorization.

1122100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122100020 is about 33497.7614177425. The cubic root of 1122100020 is about 1039.1474830652.

Adding to 1122100020 its reverse (200012211), we get a palindrome (1322112231).

The spelling of 1122100020 in words is "one billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7101 7890 7901 9468 11835 14202 15780 15802 23670 23703 28404 31604 35505 39505 47340 47406 71010 71109 79010 94812 118515 142020 142218 158020 213327 237030 284436 355545 426654 474060 711090 853308 1066635 1422180 2077963 2133270 4155926 4266540 6233889 8311852 10389815 12467778 18701667 20779630 24935556 31169445 37403334 41559260 56105001 62338890 74806668 93508335 112210002 124677780 187016670 224420004 280525005 374033340 561050010 1122100020