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41121233321130 = 23254211085279317
BaseRepresentation
bin10010101100110010010001…
…00000010011110010101010
312101121011002110020020211100
421112121020200103302222
520342212241212234010
6223242500033342230
711442624332033424
oct1126311040236252
9171534073206740
1041121233321130
11121144651aa546
1247416a1a07976
1319c393c40a681
14a223c798d814
154b49ce8572c0
hex256648813caa

41121233321130 has 48 divisors (see below), whose sum is σ = 107169162093864. Its totient is φ = 10939615505280.

The previous prime is 41121233321101. The next prime is 41121233321131. The reversal of 41121233321130 is 3112333212114.

41121233321130 is a `hidden beast` number, since 4 + 1 + 1 + 212 + 3 + 332 + 113 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20430734481369 + 20690498839761 = 4520037^2 + 4548681^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41121233321094 and 41121233321103.

It is not an unprimeable number, because it can be changed into a prime (41121233321131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 542601769 + ... + 542677548.

Almost surely, 241121233321130 is an apocalyptic number.

41121233321130 is an abundant number, since it is smaller than the sum of its proper divisors (66047928772734).

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

41121233321130 is a wasteful number, since it uses less digits than its factorization.

41121233321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085279751 (or 1085279748 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 41121233321130 its reverse (3112333212114), we get a palindrome (44233566533244).

The spelling of 41121233321130 in words is "forty-one trillion, one hundred twenty-one billion, two hundred thirty-three million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1263 2105 2526 3789 4210 6315 7578 12630 18945 37890 1085279317 2170558634 3255837951 5426396585 6511675902 9767513853 10852793170 16279189755 19535027706 32558379510 48837569265 97675138530 456902592457 913805184914 1370707777371 2284512962285 2741415554742 4112123332113 4569025924570 6853538886855 8224246664226 13707077773710 20560616660565 41121233321130