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221102120212120 = 23574119259766569
BaseRepresentation
bin110010010001011101011001…
…010101011001011010011000
31001222212011012220201021012201
4302101131121111121122120
5212440014120233241440
62102124524540415544
764400046440512420
oct6221353125313230
91058764186637181
10221102120212120
11644a49788150a4
122096b0a48475b4
13964aac0694864
143c85584b77480
151a86590ad219a
hexc91759559698

221102120212120 has 64 divisors (see below), whose sum is σ = 582415341076800. Its totient is φ = 73957503621120.

The previous prime is 221102120212109. The next prime is 221102120212133. The reversal of 221102120212120 is 21212021201122.

It is a super-2 number, since 2×2211021202121202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9629871805 + ... + 9629894764.

It is an arithmetic number, because the mean of its divisors is an integer number (9100239704325).

Almost surely, 2221102120212120 is an apocalyptic number.

221102120212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102120212120 is an abundant number, since it is smaller than the sum of its proper divisors (361313220864680).

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

221102120212120 is a wasteful number, since it uses less digits than its factorization.

221102120212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19259766628 (or 19259766624 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221102120212120 its reverse (21212021201122), we get a palindrome (242314141413242).

The spelling of 221102120212120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 19259766569 38519533138 77039066276 96298832845 134818365983 154078132552 192597665690 269636731966 385195331380 539273463932 674091829915 770390662760 789650429329 1078546927864 1348183659830 1579300858658 2696367319660 3158601717316 3948252146645 5392734639320 5527553005303 6317203434632 7896504293290 11055106010606 15793008586580 22110212021212 27637765026515 31586017173160 44220424042424 55275530053030 110551060106060 221102120212120