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221102011000212 = 223593923637312491
BaseRepresentation
bin110010010001011101010010…
…110100110010010110010100
31001222212010221022012201122020
4302101131102310302112110
5212440013404304001322
62102124510035533140
764400043643312356
oct6221352264622624
91058763838181566
10221102011000212
11644a4922101621
122096b07415a1b0
13964aaa3b77124
143c855744690d6
151a8658620d05c
hexc91752d32594

221102011000212 has 96 divisors (see below), whose sum is σ = 524906940418560. Its totient is φ = 72415874517120.

The previous prime is 221102011000187. The next prime is 221102011000217. The reversal of 221102011000212 is 212000110201122.

It is a junction number, because it is equal to n+sod(n) for n = 221102011000191 and 221102011000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102011000217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17700899287 + ... + 17700911777.

It is an arithmetic number, because the mean of its divisors is an integer number (5467780629360).

Almost surely, 2221102011000212 is an apocalyptic number.

It is an amenable number.

221102011000212 is an abundant number, since it is smaller than the sum of its proper divisors (303804929418348).

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

221102011000212 is a wasteful number, since it uses less digits than its factorization.

221102011000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22853 (or 22851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221102011000212 its reverse (212000110201122), we get a palindrome (433102121201334).

The spelling of 221102011000212 in words is "two hundred twenty-one trillion, one hundred two billion, eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 3923 6373 7846 11769 12491 12746 15692 19119 23538 24982 25492 37473 38238 47076 49964 74946 76476 149892 231457 376007 462914 694371 736969 752014 925828 1128021 1388742 1473938 1504028 2210907 2256042 2777484 2947876 4421814 4512084 8843628 25001279 49002193 50002558 75003837 79605143 98004386 100005116 147006579 150007674 159210286 196008772 238815429 294013158 300015348 318420572 477630858 588026316 955261716 1475075461 2891129387 2950150922 4425226383 4696703437 5782258774 5900301844 8673388161 8850452766 9393406874 11564517548 14090110311 17346776322 17700905532 18786813748 28180220622 34693552644 56360441244 312290975989 624581951978 936872927967 1249163903956 1873745855934 3747491711868 18425167583351 36850335166702 55275502750053 73700670333404 110551005500106 221102011000212