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11110102122 = 237267755819
BaseRepresentation
bin10100101100011011…
…01011010001101010
31001200021121122221210
422112031223101222
5140223141231442
65034240013550
7542214211200
oct122615532152
931607548853
1011110102122
1147913aa189
1221a09012b6
131080997332
14775771070
1545058c19c
hex29636b46a

11110102122 has 48 divisors (see below), whose sum is σ = 25886636640. Its totient is φ = 3169569312.

The previous prime is 11110102099. The next prime is 11110102151. The reversal of 11110102122 is 22120101111.

11110102122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111101021222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11110102098 and 11110102107.

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 23 ways as a sum of consecutive naturals, for example, 171129 + ... + 226947.

It is an arithmetic number, because the mean of its divisors is an integer number (539304930).

Almost surely, 211110102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943318320).

11110102122 is an abundant number, since it is smaller than the sum of its proper divisors (14776534518).

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

11110102122 is a wasteful number, since it uses less digits than its factorization.

11110102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56515 (or 56508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110102122 its reverse (22120101111), we get a palindrome (33230203233).

The spelling of 11110102122 in words is "eleven billion, one hundred ten million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 677 1354 2031 4062 4739 9478 14217 28434 33173 55819 66346 99519 111638 167457 199038 334914 390733 781466 1172199 2344398 2735131 5470262 8205393 16410786 37789463 75578926 113368389 226736778 264526241 529052482 793578723 1587157446 1851683687 3703367374 5555051061 11110102122