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220103302120 = 235133182116631
BaseRepresentation
bin1100110011111100101…
…1011101101111101000
3210001010101012020121121
43030333023131233220
512101232421131440
6245040345345024
721621236125162
oct3147713355750
9701111166547
10220103302120
1185388637679
12367a8198174
13179a9225610
14a91ddb7932
155ad32e834a
hex333f2ddbe8

220103302120 has 128 divisors (see below), whose sum is σ = 551235041280. Its totient is φ = 78546816000.

The previous prime is 220103302103. The next prime is 220103302163. The reversal of 220103302120 is 21203301022.

It is a junction number, because it is equal to n+sod(n) for n = 220103302094 and 220103302103.

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, 13226205 + ... + 13242835.

It is an arithmetic number, because the mean of its divisors is an integer number (4306523760).

Almost surely, 2220103302120 is an apocalyptic number.

220103302120 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 220103302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275617520640).

220103302120 is an abundant number, since it is smaller than the sum of its proper divisors (331131739160).

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

220103302120 is a wasteful number, since it uses less digits than its factorization.

220103302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220103302120 its reverse (21203301022), we get a palindrome (241306603142).

The spelling of 220103302120 in words is "two hundred twenty billion, one hundred three million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 821 1240 1612 1642 2015 3224 3284 4030 4105 6568 8060 8210 10673 16120 16420 16631 21346 25451 32840 33262 42692 50902 53365 66524 83155 85384 101804 106730 127255 133048 166310 203608 213460 216203 254510 330863 332620 426920 432406 509020 515561 661726 665240 864812 1018040 1031122 1081015 1323452 1654315 1729624 2062244 2162030 2577805 2646904 3308630 4124488 4324060 5155610 6617260 6702293 8648120 10311220 13234520 13404586 13654051 20622440 26809172 27308102 33511465 53618344 54616204 67022930 68270255 109232408 134045860 136540510 177502663 268091720 273081020 355005326 423275581 546162040 710010652 846551162 887513315 1420021304 1693102324 1775026630 2116377905 3386204648 3550053260 4232755810 5502582553 7100106520 8465511620 11005165106 16931023240 22010330212 27512912765 44020660424 55025825530 110051651060 220103302120