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110100110022 = 232729122924517
BaseRepresentation
bin110011010001001111…
…0100101101011000110
3101112012001210002111200
41212202132211223012
53300441112010042
6122325043243330
710645245331260
oct1464236455306
9345161702450
10110100110022
1142769707271
1219408379546
13a4c817b7c6
145486602b30
152ce5cbec4c
hex19a27a5ac6

110100110022 has 96 divisors (see below), whose sum is σ = 282270830400. Its totient is φ = 30346493184.

The previous prime is 110100109991. The next prime is 110100110039. The reversal of 110100110022 is 220011001011.

It is a happy number.

110100110022 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 110100109986 and 110100110013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4478508 + ... + 4503024.

It is an arithmetic number, because the mean of its divisors is an integer number (2940321150).

Almost surely, 2110100110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110100110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141135415200).

110100110022 is an abundant number, since it is smaller than the sum of its proper divisors (172170720378).

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

110100110022 is a wasteful number, since it uses less digits than its factorization.

110100110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25790 (or 25787 counting only the distinct ones).

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

Adding to 110100110022 its reverse (220011001011), we get a palindrome (330111111033).

The spelling of 110100110022 in words is "one hundred ten billion, one hundred million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1229 1827 2458 3654 3687 7374 8603 11061 17206 22122 24517 25809 35641 49034 51618 71282 73551 77427 106923 147102 154854 171619 213846 220653 249487 320769 343238 441306 498974 514857 641538 710993 748461 1029714 1421986 1496922 1544571 2132979 2245383 3089142 4265958 4490766 4976951 6398937 9953902 12797874 14930853 29861706 30131393 44792559 60262786 89585118 90394179 180788358 210919751 271182537 421839502 542365074 632759253 873810397 1265518506 1747620794 1898277759 2621431191 3796555518 5242862382 6116672779 7864293573 12233345558 15728587146 18350018337 36700036674 55050055011 110100110022