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20114041320 = 23325170932693
BaseRepresentation
bin10010101110111000…
…111110100111101000
31220220210010011112100
4102232320332213220
5312143143310240
613123521413400
71311305346612
oct225670764750
956823104470
1020114041320
118591940a4a
123a9419a260
131b871c65c9
14d8b4cddb2
157cac95e30
hex4aee3e9e8

20114041320 has 96 divisors (see below), whose sum is σ = 65410885800. Its totient is φ = 5360441856.

The previous prime is 20114041319. The next prime is 20114041327. The reversal of 20114041320 is 2314041102.

20114041320 is a `hidden beast` number, since 201 + 140 + 4 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6797342916 + 13316698404 = 82446^2 + 115398^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20114041293 and 20114041302.

It is not an unprimeable number, because it can be changed into a prime (20114041327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598894 + ... + 631586.

Almost surely, 220114041320 is an apocalyptic number.

20114041320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114041320 is an abundant number, since it is smaller than the sum of its proper divisors (45296844480).

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

20114041320 is a wasteful number, since it uses less digits than its factorization.

20114041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34419 (or 34412 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20114041320 its reverse (2314041102), we get a palindrome (22428082422).

The spelling of 20114041320 in words is "twenty billion, one hundred fourteen million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1709 3418 5127 6836 8545 10254 13672 15381 17090 20508 25635 30762 32693 34180 41016 51270 61524 65386 68360 76905 98079 102540 123048 130772 153810 163465 196158 205080 261544 294237 307620 326930 392316 490395 588474 615240 653860 784632 980790 1176948 1307720 1471185 1961580 2353896 2942370 3923160 5884740 11769480 55872337 111744674 167617011 223489348 279361685 335234022 446978696 502851033 558723370 670468044 838085055 1005702066 1117446740 1340936088 1676170110 2011404132 2234893480 2514255165 3352340220 4022808264 5028510330 6704680440 10057020660 20114041320