Search a number
-
+
1101021222112 = 257163277108863
BaseRepresentation
bin10000000001011001111…
…110101001010011100000
310220020221001200020002221
4100001121332221103200
5121014342413101422
62201445133520424
7142355221654330
oct20013176512340
93806831606087
101101021222112
11394a3885a309
12159475943114
137ca97535c06
143b40ad7b0c0
151d9904753c7
hex10059fa94e0

1101021222112 has 96 divisors (see below), whose sum is σ = 2501517053952. Its totient is φ = 467274023424.

The previous prime is 1101021222083. The next prime is 1101021222139. The reversal of 1101021222112 is 2112221201011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10059393 + ... + 10168255.

It is an arithmetic number, because the mean of its divisors is an integer number (26057469312).

Almost surely, 21101021222112 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 1101021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250758526976).

1101021222112 is an abundant number, since it is smaller than the sum of its proper divisors (1400495831840).

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

1101021222112 is a wasteful number, since it uses less digits than its factorization.

1101021222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109320 (or 109312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1101021222112 its reverse (2112221201011), we get a palindrome (3213242423123).

The spelling of 1101021222112 in words is "one trillion, one hundred one billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 277 326 554 652 1108 1141 1304 1939 2216 2282 2608 3878 4432 4564 5216 7756 8864 9128 15512 18256 31024 36512 45151 62048 90302 108863 180604 217726 316057 361208 435452 632114 722416 762041 870904 1264228 1444832 1524082 1741808 2528456 3048164 3483616 5056912 6096328 10113824 12192656 17744669 24385312 30155051 35489338 60310102 70978676 120620204 124212683 141957352 211085357 241240408 248425366 283914704 422170714 482480816 496850732 567829408 844341428 964961632 993701464 1688682856 1987402928 3377365712 3974805856 4915273313 6754731424 9830546626 19661093252 34406913191 39322186504 68813826382 78644373008 137627652764 157288746016 275255305528 550510611056 1101021222112