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220131312000 = 273534586069
BaseRepresentation
bin1100110100000011011…
…0010100000110000000
3210001012022220021221120
43031000312110012000
512101312103441000
6245043225552240
721622026164505
oct3150066240600
9701168807846
10220131312000
11853a2428936
12367b5645680
13179b1c81802
14a9239c94ac
155ad59cc6a0
hex3340d94180

220131312000 has 128 divisors (see below), whose sum is σ = 729735458400. Its totient is φ = 58701670400.

The previous prime is 220131311977. The next prime is 220131312029. The reversal of 220131312000 is 213131022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 2245035 + ... + 2341034.

Almost surely, 2220131312000 is an apocalyptic number.

220131312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220131312000 is an abundant number, since it is smaller than the sum of its proper divisors (509604146400).

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

220131312000 is an equidigital number, since it uses as much as digits as its factorization.

220131312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586101 (or 4586079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 220131312000 its reverse (213131022), we get a palindrome (220344443022).

The spelling of 220131312000 in words is "two hundred twenty billion, one hundred thirty-one million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 4586069 9172138 13758207 18344276 22930345 27516414 36688552 45860690 55032828 68791035 73377104 91721380 110065656 114651725 137582070 146754208 183442760 220131312 229303450 275164140 293508416 343955175 366885520 440262624 458606900 550328280 573258625 587016832 687910350 733771040 880525248 917213800 1100656560 1146517250 1375820700 1467542080 1719775875 1761050496 1834427600 2201313120 2293034500 2751641400 2935084160 3439551750 3668855200 4402626240 4586069000 5503282800 6879103500 7337710400 8805252480 9172138000 11006565600 13758207000 14675420800 18344276000 22013131200 27516414000 36688552000 44026262400 55032828000 73377104000 110065656000 220131312000