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1102012020 = 2233512716069
BaseRepresentation
bin100000110101111…
…0101111001110100
32211210122000022000
41001223311321310
54224103341040
6301203535300
736210643014
oct10153657164
92753560260
101102012020
11516069a3a
1226908a530
13147406725
14a6503c44
1566b32130
hex41af5e74

1102012020 has 96 divisors (see below), whose sum is σ = 3455692800. Its totient is φ = 291537792.

The previous prime is 1102012003. The next prime is 1102012039. The reversal of 1102012020 is 202102011.

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 = 1102011993 and 1102012011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60546 + ... + 76614.

It is an arithmetic number, because the mean of its divisors is an integer number (35996800).

Almost surely, 21102012020 is an apocalyptic number.

1102012020 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 1102012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727846400).

1102012020 is an abundant number, since it is smaller than the sum of its proper divisors (2353680780).

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

1102012020 is a wasteful number, since it uses less digits than its factorization.

1102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16214 (or 16206 counting only the distinct ones).

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

The square root of 1102012020 is about 33196.5663887095. The cubic root of 1102012020 is about 1032.9091164228.

Adding to 1102012020 its reverse (202102011), we get a palindrome (1304114031).

The spelling of 1102012020 in words is "one billion, one hundred two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5715 6858 7620 11430 13716 16069 17145 22860 32138 34290 48207 64276 68580 80345 96414 144621 160690 192828 241035 289242 321380 433863 482070 578484 723105 867726 964140 1446210 1735452 2040763 2169315 2892420 4081526 4338630 6122289 8163052 8677260 10203815 12244578 18366867 20407630 24489156 30611445 36733734 40815260 55100601 61222890 73467468 91834335 110201202 122445780 183668670 220402404 275503005 367337340 551006010 1102012020