Search a number
-
+
2211000120112 = 24783254393529
BaseRepresentation
bin100000001011001001111…
…000000111001100110000
321211100222101210112110111
4200023021320013030300
5242211112012320422
64411415221511104
7315511433635060
oct40131170071460
97740871715414
102211000120112
11782752a22043
122b860b572494
1313065b820754
14790278733a0
153c7a7016a77
hex202c9e07330

2211000120112 has 80 divisors (see below), whose sum is σ = 4956772746240. Its totient is φ = 935776820736.

The previous prime is 2211000120097. The next prime is 2211000120139. The reversal of 2211000120112 is 2110210001122.

It is a super-2 number, since 2×22110001201122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211000120092 and 2211000120101.

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, 23592964 + ... + 23686492.

It is an arithmetic number, because the mean of its divisors is an integer number (61959659328).

Almost surely, 22211000120112 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 2211000120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478386373120).

2211000120112 is an abundant number, since it is smaller than the sum of its proper divisors (2745772626128).

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

2211000120112 is a wasteful number, since it uses less digits than its factorization.

2211000120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96170 (or 96164 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2211000120112 its reverse (2110210001122), we get a palindrome (4321210121234).

The spelling of 2211000120112 in words is "two trillion, two hundred eleven billion, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 2543 4648 5086 9296 10172 17801 20344 35602 40688 71204 93529 142408 187058 211069 284816 374116 422138 654703 748232 844276 1309406 1477483 1496464 1688552 2618812 2954966 3377104 5237624 5909932 7762907 10475248 11819864 15525814 23639728 31051628 54340349 62103256 108680698 124206512 217361396 237844247 434722792 475688494 869445584 951376988 1664909729 1902753976 3329819458 3805507952 6659638916 13319277832 19741072501 26638555664 39482145002 78964290004 138187507507 157928580008 276375015014 315857160016 552750030028 1105500060056 2211000120112