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220120301000 = 23531719681487
BaseRepresentation
bin1100110100000000110…
…0010011110111001000
3210001011120011212200202
43031000030103313020
512101301244113000
6245042153551332
721621533454455
oct3150014236710
9701146155622
10220120301000
1185397198136
12367b1a15548
13179ac8c7a22
14a92236082c
155ad4a54dd5
hex3340313dc8

220120301000 has 128 divisors (see below), whose sum is σ = 574085491200. Its totient is φ = 78507187200.

The previous prime is 220120300993. The next prime is 220120301041. The reversal of 220120301000 is 103021022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17744 + ... + 663743.

It is an arithmetic number, because the mean of its divisors is an integer number (4485042900).

Almost surely, 2220120301000 is an apocalyptic number.

220120301000 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 220120301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287042745600).

220120301000 is an abundant number, since it is smaller than the sum of its proper divisors (353965190200).

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

220120301000 is a wasteful number, since it uses less digits than its factorization.

220120301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681544 (or 681530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 220120301000 its reverse (103021022), we get a palindrome (220223322022).

The spelling of 220120301000 in words is "two hundred twenty billion, one hundred twenty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 125 136 152 170 190 200 250 323 340 380 425 475 500 646 680 760 850 950 1000 1292 1615 1700 1900 2125 2375 2584 3230 3400 3800 4250 4750 6460 8075 8500 9500 12920 16150 17000 19000 32300 40375 64600 80750 161500 323000 681487 1362974 2725948 3407435 5451896 6814870 11585279 12948253 13629740 17037175 23170558 25896506 27259480 34074350 46341116 51793012 57926395 64741265 68148700 85185875 92682232 103586024 115852790 129482530 136297400 170371750 220120301 231705580 258965060 289631975 323706325 340743500 440240602 463411160 517930120 579263950 647412650 681487000 880481204 1100601505 1158527900 1294825300 1448159875 1618531625 1760962408 2201203010 2317055800 2589650600 2896319750 3237063250 4402406020 5503007525 5792639500 6474126500 8804812040 11006015050 11585279000 12948253000 22012030100 27515037625 44024060200 55030075250 110060150500 220120301000