Search a number
-
+
2210212010112 = 273313109716763
BaseRepresentation
bin100000001010011010111…
…001101101100010000000
321211021221110211101210020
4200022122321231202000
5242203003233310422
64411205105533440
7315453054052221
oct40123271554200
97737843741706
102210212010112
11782389072367
122b842b644280
13130564471782
1478d90d21248
153c75cc3c95c
hex2029ae6d880

2210212010112 has 128 divisors (see below), whose sum is σ = 5895352964160. Its totient is φ = 733670326272.

The previous prime is 2210212010101. The next prime is 2210212010159. The reversal of 2210212010112 is 2110102120122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2210212010091 and 2210212010100.

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, 131842243 + ... + 131859005.

Almost surely, 22210212010112 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 2210212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947676482080).

2210212010112 is an abundant number, since it is smaller than the sum of its proper divisors (3685140954048).

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

2210212010112 is a wasteful number, since it uses less digits than its factorization.

2210212010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190 (or 18178 counting only the distinct ones).

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

Adding to 2210212010112 its reverse (2110102120122), we get a palindrome (4320314130234).

The spelling of 2210212010112 in words is "two trillion, two hundred ten billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 939 1097 1252 1878 2194 2504 3291 3756 4388 5008 6582 7512 8776 10016 13164 15024 16763 17552 20032 26328 30048 33526 35104 40064 50289 52656 60096 67052 70208 100578 105312 120192 134104 140416 201156 210624 268208 343361 402312 421248 536416 686722 804624 1030083 1072832 1373444 1609248 2060166 2145664 2746888 3218496 4120332 5246819 5493776 6436992 8240664 10493638 10987552 15740457 16481328 18389011 20987276 21975104 31480914 32962656 36778022 41974552 43950208 55167033 62961828 65925312 73556044 83949104 110334066 125923656 131850624 147112088 167898208 220668132 251847312 294224176 335796416 441336264 503694624 588448352 671592832 882672528 1007389248 1176896704 1765345056 2014778496 2353793408 3530690112 5755760443 7061380224 11511520886 17267281329 23023041772 34534562658 46046083544 69069125316 92092167088 138138250632 184184334176 276276501264 368368668352 552553002528 736737336704 1105106005056 2210212010112