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111020002048 = 284114097507
BaseRepresentation
bin110011101100101001…
…1101100101100000000
3101121120011201110010201
41213121103230230000
53304332110031143
6123000223534544
711010115306234
oct1473123545400
9347504643121
10111020002048
11430a099580a
121962445a454
13a61391b407
14553285a5c4
152d4b92a64d
hex19d94ecb00

111020002048 has 72 divisors (see below), whose sum is σ = 227202741360. Its totient is φ = 54110453760.

The previous prime is 111020002033. The next prime is 111020002117. The reversal of 111020002048 is 840200020111.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 14785111 + ... + 14792617.

It is an arithmetic number, because the mean of its divisors is an integer number (3155593630).

Almost surely, 2111020002048 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 111020002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113601370680).

111020002048 is an abundant number, since it is smaller than the sum of its proper divisors (116182739312).

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

111020002048 is an equidigital number, since it uses as much as digits as its factorization.

111020002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 111020002048 its reverse (840200020111), we get a palindrome (951220022159).

The spelling of 111020002048 in words is "one hundred eleven billion, twenty million, two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1409 2624 2818 5248 5636 7507 10496 11272 15014 22544 30028 45088 57769 60056 90176 115538 120112 180352 231076 240224 307787 360704 462152 480448 615574 924304 960896 1231148 1848608 1921792 2462296 3697216 4924592 7394432 9849184 10577363 14788864 19698368 21154726 39396736 42309452 78793472 84618904 169237808 338475616 433671883 676951232 867343766 1353902464 1734687532 2707804928 3469375064 6938750128 13877500256 27755000512 55510001024 111020002048