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220102011220 = 225721319909287
BaseRepresentation
bin1100110011111100011…
…0100010100101010100
3210001010021202122211111
43030333012202211110
512101232103324340
6245040301544404
721621222140500
oct3147706424524
9701107678744
10220102011220
1185387935813
12367a7875104
13179a8b92b80
14a91db5d300
155ad3140aea
hex333f1a2954

220102011220 has 144 divisors (see below), whose sum is σ = 609513932160. Its totient is φ = 65992340736.

The previous prime is 220102011179. The next prime is 220102011223. The reversal of 220102011220 is 22110201022.

It is a happy number.

220102011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 220102011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220102011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212584 + ... + 696703.

It is an arithmetic number, because the mean of its divisors is an integer number (4232735640).

Almost surely, 2220102011220 is an apocalyptic number.

220102011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102011220 is an abundant number, since it is smaller than the sum of its proper divisors (389411920940).

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

220102011220 is a wasteful number, since it uses less digits than its factorization.

220102011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909342 (or 909333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220102011220 its reverse (22110201022), we get a palindrome (242212212242).

The spelling of 220102011220 in words is "two hundred twenty billion, one hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48412 60515 121030 242060 909287 1818574 3637148 4546435 6365009 9092870 11820731 12730018 17276453 18185740 23641462 25460036 31825045 34552906 44555063 47282924 59103655 63650090 69105812 82745117 86382265 89110126 118207310 120935171 127300180 165490234 172764530 178220252 222775315 224593889 236414620 241870342 330980468 345529060 413725585 445550630 449187778 483740684 579215819 604675855 827451170 846546197 891101260 898375556 1122969445 1158431638 1209351710 1572157223 1654902340 1693092394 2245938890 2316863276 2418703420 2896079095 3144314446 3386184788 4232730985 4491877780 5792158190 6288628892 7860786115 8465461970 11005100561 11584316380 15721572230 16930923940 22010201122 31443144460 44020402244 55025502805 110051005610 220102011220