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220131310320 = 24325424172091
BaseRepresentation
bin1100110100000011011…
…0010011101011110000
3210001012022220012122100
43031000312103223300
512101312103412240
6245043225540400
721622026156555
oct3150066235360
9701168805570
10220131310320
11853a2427649
12367b5644700
13179b1c80b0c
14a9239c8a2c
155ad59cbe30
hex3340d93af0

220131310320 has 120 divisors (see below), whose sum is σ = 739458890352. Its totient is φ = 58687027200.

The previous prime is 220131310307. The next prime is 220131310327. The reversal of 220131310320 is 23013131022.

220131310320 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 31 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 220131310293 and 220131310302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220131310327) 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, 3017475 + ... + 3089565.

Almost surely, 2220131310320 is an apocalyptic number.

220131310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220131310320 is an abundant number, since it is smaller than the sum of its proper divisors (519327580032).

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

220131310320 is a wasteful number, since it uses less digits than its factorization.

220131310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76351 (or 76342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220131310320 its reverse (23013131022), we get a palindrome (243144441342).

The spelling of 220131310320 in words is "two hundred twenty billion, one hundred thirty-one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4241 8482 12723 16964 21205 25446 33928 38169 42410 50892 63615 67856 72091 76338 84820 101784 127230 144182 152676 169640 190845 203568 216273 254460 288364 305352 339280 360455 381690 432546 508920 576728 610704 648819 720910 763380 865092 1017840 1081365 1153456 1297638 1441820 1526760 1730184 2162730 2595276 2883640 3053520 3244095 3460368 4325460 5190552 5767280 6488190 8650920 10381104 12976380 17301840 25952760 51905520 305737931 611475862 917213793 1222951724 1528689655 1834427586 2445903448 2751641379 3057379310 3668855172 4586068965 4891806896 5503282758 6114758620 7337710344 9172137930 11006565516 12229517240 13758206895 14675420688 18344275860 22013131032 24459034480 27516413790 36688551720 44026262064 55032827580 73377103440 110065655160 220131310320