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1100141441252 = 227253105905029
BaseRepresentation
bin10000000000100101100…
…010100011000011100100
310220011122202012201122122
4100000211202203003210
5121011042202110002
62201221545045112
7142324346646500
oct20004542430344
93804582181578
101100141441252
11394627187997
1215926b186798
137c98719b619
143b3661a5300
151d93d0de6a2
hex100258a30e4

1100141441252 has 36 divisors (see below), whose sum is σ = 2281829776380. Its totient is φ = 462593162304.

The previous prime is 1100141441149. The next prime is 1100141441263. The reversal of 1100141441252 is 2521441410011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 885868734436 + 214272706816 = 941206^2 + 462896^2 .

It is a super-2 number, since 2×11001414412522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52942127 + ... + 52962902.

It is an arithmetic number, because the mean of its divisors is an integer number (63384160455).

Almost surely, 21100141441252 is an apocalyptic number.

It is an amenable number.

1100141441252 is an abundant number, since it is smaller than the sum of its proper divisors (1181688335128).

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

1100141441252 is a wasteful number, since it uses less digits than its factorization.

1100141441252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105905100 (or 105905091 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 1100141441252 its reverse (2521441410011), we get a palindrome (3621582851263).

The spelling of 1100141441252 in words is "one trillion, one hundred billion, one hundred forty-one million, four hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 105905029 211810058 423620116 741335203 1482670406 2965340812 5189346421 5612966537 10378692842 11225933074 20757385684 22451866148 39290765759 78581531518 157163063036 275035360313 550070720626 1100141441252