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2220221102112 = 2532133119129283
BaseRepresentation
bin100000010011101111011…
…111010111100000100000
321212020210000200221210100
4200103233133113200200
5242334003100231422
64415542215302400
7316256101662366
oct40235737274040
97766700627710
102220221102112
11786654a27322
122ba36367aa00
1313149acc3410
147966036d636
153cb467e47ac
hex204ef7d7820

2220221102112 has 144 divisors (see below), whose sum is σ = 7018763851008. Its totient is φ = 661107985920.

The previous prime is 2220221102107. The next prime is 2220221102119. The reversal of 2220221102112 is 2112011220222.

It is a happy number.

2220221102112 is a `hidden beast` number, since 2 + 220 + 221 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2220221102119) 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, 9448578 + ... + 9680705.

It is an arithmetic number, because the mean of its divisors is an integer number (48741415632).

Almost surely, 22220221102112 is an apocalyptic number.

It is an amenable number.

2220221102112 is an abundant number, since it is smaller than the sum of its proper divisors (4798542748896).

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

2220221102112 is a wasteful number, since it uses less digits than its factorization.

2220221102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19129343 (or 19129332 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220221102112 its reverse (2112011220222), we get a palindrome (4332232322334).

The spelling of 2220221102112 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 19129283 38258566 57387849 76517132 114775698 153034264 172163547 229551396 248680679 306068528 344327094 459102792 497361358 593007773 612137056 688654188 746042037 918205584 994722716 1186015546 1377308376 1492084074 1779023319 1836411168 1989445432 2238126111 2372031092 2754616752 2984168148 3558046638 3978890864 4476252222 4744062184 5337069957 5509233504 5968336296 7116093276 7709101049 7957781728 8952504444 9488124368 10674139914 11936672592 14232186552 15418202098 17905008888 18976248736 21348279828 23127303147 23873345184 28464373104 30836404196 35810017776 42696559656 46254606294 56928746208 61672808392 69381909441 71620035552 85393119312 92509212588 123345616784 138763818882 170786238624 185018425176 246691233568 277527637764 370036850352 555055275528 740073700704 1110110551056 2220221102112