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221131013101212 = 2231941115320516423
BaseRepresentation
bin110010010001111000010011…
…011111000001011010011100
31001222221220210111210002221010
4302101320103133001122130
5212441002303323214322
62102150103543335220
764402121435150604
oct6221702337013234
91058856714702833
10221131013101212
1164506155027335
1220974808a51510
139650746589436
143c86b26151c04
151a871d241d20c
hexc91e137c169c

221131013101212 has 96 divisors (see below), whose sum is σ = 556858421521920. Its totient is φ = 68068564254720.

The previous prime is 221131013101073. The next prime is 221131013101223. The reversal of 221131013101212 is 212101310131122.

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 31 ways as a sum of consecutive naturals, for example, 520033 + ... + 21036455.

It is an arithmetic number, because the mean of its divisors is an integer number (5800608557520).

Almost surely, 2221131013101212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221131013101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278429210760960).

221131013101212 is an abundant number, since it is smaller than the sum of its proper divisors (335727408420708).

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

221131013101212 is a wasteful number, since it uses less digits than its factorization.

221131013101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517643 (or 20517641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 221131013101212 its reverse (212101310131122), we get a palindrome (433232323232334).

The spelling of 221131013101212 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, thirteen million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1153 1558 2306 2337 3116 3459 4612 4674 6918 9348 13836 21907 43814 47273 65721 87628 94546 131442 141819 189092 262884 283638 567276 898187 1796374 2694561 3592748 5389122 10778244 20516423 41032846 61549269 82065692 123098538 246197076 389812037 779624074 841173343 1169436111 1559248148 1682346686 2338872222 2523520029 3364693372 4677744444 5047040058 10094080116 15982293517 23655435719 31964587034 47310871438 47946880551 63929174068 70966307157 94621742876 95893761102 141932614314 191787522204 283865228628 449453278661 898906557322 969872864479 1348359835983 1797813114644 1939745728958 2696719671966 2909618593437 3879491457916 5393439343932 5819237186874 11638474373748 18427584425101 36855168850202 55282753275303 73710337700404 110565506550606 221131013101212