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110100011022 = 2334763168749
BaseRepresentation
bin110011010001001111…
…0001101100000001110
3101112012001121001201000
41212202132031200032
53300441100323042
6122325041201130
710645244436531
oct1464236154016
9345161531630
10110100011022
1142769649951
12194083301a6
13a4c8145721
1454865b8a18
152ce5ca074c
hex19a278d80e

110100011022 has 64 divisors (see below), whose sum is σ = 250272000000. Its totient is φ = 35861706720.

The previous prime is 110100011009. The next prime is 110100011033. The reversal of 110100011022 is 220110001011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110100010995 and 110100011013.

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 31 ways as a sum of consecutive naturals, for example, 1567104 + ... + 1635852.

It is an arithmetic number, because the mean of its divisors is an integer number (3910500000).

Almost surely, 2110100011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125136000000).

110100011022 is an abundant number, since it is smaller than the sum of its proper divisors (140171988978).

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

110100011022 is a wasteful number, since it uses less digits than its factorization.

110100011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69438 (or 69432 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110100011022 its reverse (220110001011), we get a palindrome (330210012033).

The spelling of 110100011022 in words is "one hundred ten billion, one hundred million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 631 846 1262 1269 1893 2538 3786 5679 11358 17037 29657 34074 59314 68749 88971 137498 177942 206247 266913 412494 533826 618741 800739 1237482 1601478 1856223 3231203 3712446 6462406 9693609 19387218 29080827 43380619 58161654 86761238 87242481 130141857 174484962 260283714 390425571 780851142 1171276713 2038889093 2342553426 4077778186 6116667279 12233334558 18350001837 36700003674 55050005511 110100011022