Search a number
-
+
221100011212112 = 24231481613166169
BaseRepresentation
bin110010010001011011011011…
…101000001100110101010000
31001222211221202221020222002022
4302101123123220030311100
5212440000310332241422
62102123535401311012
764366643251352354
oct6221333350146520
91058757687228068
10221100011212112
11644a3a9629a18a
122096a7b6495468
13964a845775366
143c85424a27464
151a864ba88d342
hexc916dba0cd50

221100011212112 has 80 divisors (see below), whose sum is σ = 447388091579520. Its totient is φ = 105653251123200.

The previous prime is 221100011212099. The next prime is 221100011212183. The reversal of 221100011212112 is 211212110001122.

It is a super-2 number, since 2×2211000112121122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 3341410964 + ... + 3341477132.

It is an arithmetic number, because the mean of its divisors is an integer number (5592351144744).

Almost surely, 2221100011212112 is an apocalyptic number.

It is an amenable number.

221100011212112 is an abundant number, since it is smaller than the sum of its proper divisors (226288080367408).

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

221100011212112 is a wasteful number, since it uses less digits than its factorization.

221100011212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73812 (or 73806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221100011212112 its reverse (211212110001122), we get a palindrome (432312121213234).

The spelling of 221100011212112 in words is "two hundred twenty-one trillion, one hundred billion, eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 1481 2962 5924 6131 11848 12262 23696 24524 34063 49048 66169 68126 98096 132338 136252 141013 264676 272504 282026 529352 545008 564052 1058704 1128104 1521887 2256208 3043774 6087548 9080011 12175096 18160022 24350192 36320044 72640088 97996289 145280176 195992578 208840253 391985156 405682139 417680506 783970312 811364278 835361012 1567940624 1622728556 1670722024 2253914647 3245457112 3341444048 4507829294 6490914224 9015658588 9330689197 18031317176 18661378394 36062634352 37322756788 74645513576 149291027152 600815247859 1201630495718 2403260991436 4806521982872 9613043965744 13818750700757 27637501401514 55275002803028 110550005606056 221100011212112