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1122022020 = 2235710924509
BaseRepresentation
bin100001011100000…
…1011001010000100
32220012021121212010
41002320023022010
54244214201040
6303200454220
736543013140
oct10270131204
92805247763
101122022020
11526396829
1227391a370
1314b5c1572
14a9032220
1568785e80
hex42e0b284

1122022020 has 96 divisors (see below), whose sum is σ = 3623558400. Its totient is φ = 254098944.

The previous prime is 1122022007. The next prime is 1122022037. The reversal of 1122022020 is 202202211.

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 = 1122021987 and 1122022005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33526 + ... + 58034.

It is an arithmetic number, because the mean of its divisors is an integer number (37745400).

Almost surely, 21122022020 is an apocalyptic number.

1122022020 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 1122022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811779200).

1122022020 is an abundant number, since it is smaller than the sum of its proper divisors (2501536380).

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

1122022020 is a wasteful number, since it uses less digits than its factorization.

1122022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24637 (or 24635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1122022020 is about 33496.5971406052. The cubic root of 1122022020 is about 1039.1234045872.

Adding to 1122022020 its reverse (202202211), we get a palindrome (1324224231).

The spelling of 1122022020 in words is "one billion, one hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 3052 3270 3815 4578 6540 7630 9156 11445 15260 22890 24509 45780 49018 73527 98036 122545 147054 171563 245090 294108 343126 367635 490180 514689 686252 735270 857815 1029378 1470540 1715630 2058756 2573445 2671481 3431260 5146890 5342962 8014443 10293780 10685924 13357405 16028886 18700367 26714810 32057772 37400734 40072215 53429620 56101101 74801468 80144430 93501835 112202202 160288860 187003670 224404404 280505505 374007340 561011010 1122022020