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11112102102020 = 225732149369833
BaseRepresentation
bin1010000110110011110011…
…1001100000010000000100
31110100022021111112111112212
42201230330321200100010
52424030041114231040
635344455040402552
72224552151264153
oct241547471402004
943308244474485
1011112102102020
1135a4685a43417
1212b5724616458
13627b362967ba
142a5b859d159a
151440b80d1d65
hexa1b3ce60404

11112102102020 has 72 divisors (see below), whose sum is σ = 23675642524296. Its totient is φ = 4380953536512.

The previous prime is 11112102101963. The next prime is 11112102102029. The reversal of 11112102102020 is 2020120121111.

It can be written as a sum of positive squares in 12 ways, for example, as 2165865569344 + 8946236532676 = 1471688^2 + 2991026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11112102101986 and 11112102102004.

It is not an unprimeable number, because it can be changed into a prime (11112102102029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 159089024 + ... + 159158856.

It is an arithmetic number, because the mean of its divisors is an integer number (328828368393).

Almost surely, 211112102102020 is an apocalyptic number.

11112102102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112102102020 is an abundant number, since it is smaller than the sum of its proper divisors (12563540422276).

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

11112102102020 is a wasteful number, since it uses less digits than its factorization.

11112102102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71481 (or 71406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11112102102020 its reverse (2020120121111), we get a palindrome (13132222223131).

The spelling of 11112102102020 in words is "eleven trillion, one hundred twelve billion, one hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 1493 2986 5329 5972 7465 10658 14930 21316 26645 29860 53290 69833 106580 108989 139666 217978 279332 349165 435956 544945 698330 1089890 1396660 2179780 5097809 7956197 10195618 15912394 20391236 25489045 31824788 39780985 50978090 79561970 101956180 104260669 159123940 208521338 372140057 417042676 521303345 744280114 1042606690 1488560228 1860700285 2085213380 3721400570 7442801140 7611028837 15222057674 30444115348 38055144185 76110288370 152220576740 555605105101 1111210210202 2222420420404 2778025525505 5556051051010 11112102102020