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1130221022301 = 33727910813753
BaseRepresentation
bin10000011100100110011…
…011000010110001011101
311000001022001020202201000
4100130212123002301131
5122004143040203201
62223114422540513
7144440634115200
oct20344633026135
94001261222630
101130221022301
113a6362336388
12163064897739
138276bba81a7
143c9bb007937
151e5edbd7d86
hex107266c2c5d

1130221022301 has 48 divisors (see below), whose sum is σ = 1972428729600. Its totient is φ = 637665327936.

The previous prime is 1130221022291. The next prime is 1130221022309. The reversal of 1130221022301 is 1032201220311.

1130221022301 is a `hidden beast` number, since 1 + 130 + 2 + 210 + 22 + 301 = 666.

It is not a de Polignac number, because 1130221022301 - 27 = 1130221022173 is a prime.

It is a super-2 number, since 2×11302210223012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130221022309) 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 47 ways as a sum of consecutive naturals, for example, 5302360 + ... + 5511393.

It is an arithmetic number, because the mean of its divisors is an integer number (41092265200).

Almost surely, 21130221022301 is an apocalyptic number.

It is an amenable number.

1130221022301 is a deficient number, since it is larger than the sum of its proper divisors (842207707299).

1130221022301 is a wasteful number, since it uses less digits than its factorization.

1130221022301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10813855 (or 10813842 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130221022301 its reverse (1032201220311), we get a palindrome (2162422242612).

The spelling of 1130221022301 in words is "one trillion, one hundred thirty billion, two hundred twenty-one million, twenty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 27 49 63 79 147 189 237 441 553 711 1323 1659 2133 3871 4977 11613 14931 34839 104517 10813753 32441259 75696271 97323777 227088813 291971331 529873897 681266439 854286487 1589621691 2043799317 2562859461 4768865073 5980005409 7688578383 14306595219 17940016227 23065735149 41860037863 53820048681 125580113589 161460146043 376740340767 1130221022301