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10744230101031 = 3272925799227947
BaseRepresentation
bin1001110001011001011000…
…0001001100000000100111
31102001010201212110120210100
42130112112001030000213
52402013140401213111
634503455310555143
72156150016001560
oct234262601140047
942033655416710
1010744230101031
113472669877219
121256378b08ab3
135cc23ab6267b
14292048731167
1513973705a756
hex9c59604c027

10744230101031 has 48 divisors (see below), whose sum is σ = 18348902208000. Its totient is φ = 5927595315264.

The previous prime is 10744230101023. The next prime is 10744230101041. The reversal of 10744230101031 is 13010103244701.

10744230101031 is a `hidden beast` number, since 107 + 4 + 423 + 0 + 101 + 0 + 31 = 666.

It is not a de Polignac number, because 10744230101031 - 23 = 10744230101023 is a prime.

It is a super-2 number, since 2×107442301010312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10744230100986 and 10744230101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744230101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47020800 + ... + 47248746.

It is an arithmetic number, because the mean of its divisors is an integer number (382268796000).

Almost surely, 210744230101031 is an apocalyptic number.

10744230101031 is a deficient number, since it is larger than the sum of its proper divisors (7604672106969).

10744230101031 is a wasteful number, since it uses less digits than its factorization.

10744230101031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253788 (or 253785 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10744230101031 its reverse (13010103244701), we get a palindrome (23754333345732).

The spelling of 10744230101031 in words is "ten trillion, seven hundred forty-four billion, two hundred thirty million, one hundred one thousand, thirty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 25799 77397 180593 227947 232191 541779 683841 748171 1595629 1625337 2051523 2244513 4786887 5237197 6610463 6733539 14360661 15711591 19831389 46273241 47134773 59494167 138819723 416459169 5880804653 17642413959 41165632571 52927241877 123496897713 170543334937 370490693139 511630004811 1193803344559 1534890014433 3581410033677 10744230101031