Search a number
-
+
101122222112 = 2543597915767
BaseRepresentation
bin101111000101101011…
…0101010100000100000
3100200000101022010120122
41132023112222200200
53124044242101422
6114242132055412
710206621464042
oct1361326524040
9320011263518
10101122222112
113998194919a
1217721764568
1396c71710b2
144c74105a92
15296ca0ed42
hex178b5aa820

101122222112 has 96 divisors (see below), whose sum is σ = 209802700800. Its totient is φ = 47930658048.

The previous prime is 101122222111. The next prime is 101122222151. The reversal of 101122222112 is 211222221101.

It is not an unprimeable number, because it can be changed into a prime (101122222111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405653 + ... + 6421419.

It is an arithmetic number, because the mean of its divisors is an integer number (2185444800).

Almost surely, 2101122222112 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 101122222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104901350400).

101122222112 is an abundant number, since it is smaller than the sum of its proper divisors (108680478688).

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

101122222112 is a wasteful number, since it uses less digits than its factorization.

101122222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101122222112 its reverse (211222221101), we get a palindrome (312344443213).

The spelling of 101122222112 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 59 79 86 118 158 172 236 316 344 472 632 688 944 1264 1376 1888 2528 2537 3397 4661 5074 6794 9322 10148 13588 15767 18644 20296 27176 31534 37288 40592 54352 63068 74576 81184 108704 126136 149152 200423 252272 400846 504544 677981 801692 930253 1245593 1355962 1603384 1860506 2491186 2711924 3206768 3721012 4982372 5423848 6413536 7442024 9964744 10847696 14884048 19929488 21695392 29768096 39858976 40000879 53560499 73489987 80001758 107120998 146979974 160003516 214241996 293959948 320007032 428483992 587919896 640014064 856967984 1175839792 1280028128 1713935968 2351679584 3160069441 6320138882 12640277764 25280555528 50561111056 101122222112