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221102110111120 = 2457616472544207
BaseRepresentation
bin110010010001011101011000…
…101110110111010110010000
31001222212011012012201002020121
4302101131120232313112100
5212440014110142023440
62102124523540120024
764400046255612430
oct6221353056672620
91058764165632217
10221102110111120
11644a4973046067
122096b0a1396014
13964aabb569034
143c855836a82c0
151a8658ec8934a
hexc91758bb7590

221102110111120 has 80 divisors (see below), whose sum is σ = 597131038453248. Its totient is φ = 74563709253120.

The previous prime is 221102110111109. The next prime is 221102110111187. The reversal of 221102110111120 is 21111011201122.

221102110111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2211021101111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221102110111094 and 221102110111103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3236237944 + ... + 3236306263.

Almost surely, 2221102110111120 is an apocalyptic number.

221102110111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102110111120 is an abundant number, since it is smaller than the sum of its proper divisors (376028928342128).

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

221102110111120 is a wasteful number, since it uses less digits than its factorization.

221102110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472544288 (or 6472544282 counting only the distinct ones).

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

Adding to 221102110111120 its reverse (21111011201122), we get a palindrome (242213121312242).

The spelling of 221102110111120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4880 6832 8540 17080 34160 6472544207 12945088414 25890176828 32362721035 45307809449 51780353656 64725442070 90615618898 103560707312 129450884140 181231237796 226539047245 258901768280 362462475592 394825196627 453078094490 517803536560 724924951184 789650393254 906156188980 1579300786508 1812312377960 1974125983135 2763776376389 3158601573016 3624624755920 3948251966270 5527552752778 6317203146032 7896503932540 11055105505556 13818881881945 15793007865080 22110211011112 27637763763890 31586015730160 44220422022224 55275527527780 110551055055560 221102110111120