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1111022020 = 225316612711
BaseRepresentation
bin100001000111000…
…1101100111000100
32212102120202200201
41002032031213010
54233410201040
6302125020244
736350350153
oct10216154704
92772522621
101111022020
11520163319
122700b4684
1314923c7a4
14a77ab59a
1567811a9a
hex4238d9c4

1111022020 has 48 divisors (see below), whose sum is σ = 2412942336. Its totient is φ = 429264000.

The previous prime is 1111022009. The next prime is 1111022021. The reversal of 1111022020 is 202201111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1111021988 and 1111022006.

It is not an unprimeable number, because it can be changed into a prime (1111022021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408465 + ... + 411175.

It is an arithmetic number, because the mean of its divisors is an integer number (50269632).

Almost surely, 21111022020 is an apocalyptic number.

1111022020 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 1111022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206471168).

1111022020 is an abundant number, since it is smaller than the sum of its proper divisors (1301920316).

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

1111022020 is a wasteful number, since it uses less digits than its factorization.

1111022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1111022020 is about 33331.9969398775. The cubic root of 1111022020 is about 1035.7164852317.

Adding to 1111022020 its reverse (202201111), we get a palindrome (1313223131).

The spelling of 1111022020 in words is "one billion, one hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 661 1322 2644 2711 3305 5422 6610 10844 13220 13555 20491 27110 40982 54220 81964 84041 102455 168082 204910 336164 409820 420205 840410 1680820 1791971 3583942 7167884 8959855 17919710 35839420 55551101 111102202 222204404 277755505 555511010 1111022020