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20011243120 = 24511101225149
BaseRepresentation
bin10010101000110000…
…110101011001110000
31220122121200110220121
4102220300311121300
5311440334234440
613105410220024
71305616521451
oct225060653160
956577613817
1020011243120
118539909160
123a65884614
131b6bb1327b
14d7b9b1128
157c1c3c34a
hex4a8c35670

20011243120 has 80 divisors (see below), whose sum is σ = 51258549600. Its totient is φ = 7204736000.

The previous prime is 20011243073. The next prime is 20011243129. The reversal of 20011243120 is 2134211002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20011243094 and 20011243103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011243129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23695 + ... + 201454.

It is an arithmetic number, because the mean of its divisors is an integer number (640731870).

Almost surely, 220011243120 is an apocalyptic number.

20011243120 is a gapful number since it is divisible by the number (20) 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 20011243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25629274800).

20011243120 is an abundant number, since it is smaller than the sum of its proper divisors (31247306480).

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

20011243120 is a wasteful number, since it uses less digits than its factorization.

20011243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225274 (or 225268 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20011243120 its reverse (2134211002), we get a palindrome (22145454122).

The spelling of 20011243120 in words is "twenty billion, eleven million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 225149 450298 900596 1125745 1801192 2251490 2476639 3602384 4502980 4953278 9005960 9906556 12383195 18011920 19813112 22740049 24766390 39626224 45480098 49532780 90960196 99065560 113700245 181920392 198131120 227400490 250140539 363840784 454800980 500281078 909601960 1000562156 1250702695 1819203920 2001124312 2501405390 4002248624 5002810780 10005621560 20011243120