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10305134244 = 22321092626181
BaseRepresentation
bin10011001100011101…
…11101111010100100
3222121011221001121200
421212032331322210
5132101103243434
64422322442500
7513241124106
oct114616757244
928534831550
1010305134244
114408a85979
121bb7203430
13c82c95192
146da8b1576
15404a83199
hex2663bdea4

10305134244 has 36 divisors (see below), whose sum is σ = 26288081820. Its totient is φ = 3403529280.

The previous prime is 10305134243. The next prime is 10305134251. The reversal of 10305134244 is 44243150301.

It is a happy number.

10305134244 is a `hidden beast` number, since 10 + 305 + 1 + 342 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8927982144 + 1377152100 = 94488^2 + 37110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×103051342442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10305134243) 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 11 ways as a sum of consecutive naturals, for example, 1309167 + ... + 1317014.

It is an arithmetic number, because the mean of its divisors is an integer number (730224495).

Almost surely, 210305134244 is an apocalyptic number.

It is an amenable number.

10305134244 is an abundant number, since it is smaller than the sum of its proper divisors (15982947576).

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

10305134244 is a wasteful number, since it uses less digits than its factorization.

10305134244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626300 (or 2626295 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10305134244 its reverse (44243150301), we get a palindrome (54548284545).

The spelling of 10305134244 in words is "ten billion, three hundred five million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 2626181 5252362 7878543 10504724 15757086 23635629 31514172 47271258 94542516 286253729 572507458 858761187 1145014916 1717522374 2576283561 3435044748 5152567122 10305134244