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220131321300 = 223352117411829
BaseRepresentation
bin1100110100000011011…
…0010110010111010100
3210001012022220202201000
43031000312112113110
512101312104240200
6245043230103300
721622026233562
oct3150066262724
9701168822630
10220131321300
11853a2434920
12367b564ab30
13179b1c85b07
14a9239cca32
155ad59d0300
hex3340d965d4

220131321300 has 144 divisors (see below), whose sum is σ = 772016212800. Its totient is φ = 53365161600.

The previous prime is 220131321287. The next prime is 220131321307. The reversal of 220131321300 is 3123131022.

220131321300 is a `hidden beast` number, since 220 + 1 + 313 + 2 + 130 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220131321307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3676215 + ... + 3735614.

It is an arithmetic number, because the mean of its divisors is an integer number (5361223700).

Almost surely, 2220131321300 is an apocalyptic number.

220131321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220131321300 is an abundant number, since it is smaller than the sum of its proper divisors (551884891500).

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

220131321300 is a wasteful number, since it uses less digits than its factorization.

220131321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411863 (or 7411850 counting only the distinct ones).

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

Adding to 220131321300 its reverse (3123131022), we get a palindrome (223254452322).

The spelling of 220131321300 in words is "two hundred twenty billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 7411829 14823658 22235487 29647316 37059145 44470974 66706461 74118290 81530119 88941948 111177435 133412922 148236580 163060238 185295725 200119383 222354870 244590357 266825844 326120476 333532305 370591450 400238766 407650595 444709740 489180714 555887175 667064610 733771071 741182900 800477532 815301190 978361428 1000596915 1111774350 1222951785 1334129220 1467542142 1630602380 1667661525 2001193830 2038252975 2201313213 2223548700 2445903570 2935084284 3335323050 3668855355 4002387660 4076505950 4402626426 4891807140 5002984575 6114758925 6670646100 7337710710 8153011900 8805252852 10005969150 11006566065 12229517850 14675421420 18344276775 20011938300 22013132130 24459035700 36688553550 44026264260 55032830325 73377107100 110065660650 220131321300