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10023044553441 = 321997557672317
BaseRepresentation
bin1001000111011010110000…
…0000101001101011100001
31022111012020012121212020200
42101312230000221223201
52303204143401202231
633152304553455413
72053066246665303
oct221665400515341
938435205555220
1010023044553441
113214827394107
12115a649411569
1357922751696a
142691918d7973
15125ac8103be6
hex91dac029ae1

10023044553441 has 12 divisors (see below), whose sum is σ = 14484980787732. Its totient is φ = 6678683656416.

The previous prime is 10023044553397. The next prime is 10023044553451. The reversal of 10023044553441 is 14435544032001.

10023044553441 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 304 + 4 + 5 + 5 + 344 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 866798240400 + 9156246313041 = 931020^2 + 3025929^2 .

It is not a de Polignac number, because 10023044553441 - 211 = 10023044551393 is a prime.

It is a super-2 number, since 2×100230445534412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023044553396 and 10023044553405.

It is not an unprimeable number, because it can be changed into a prime (10023044553451) 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, 278818186 + ... + 278854131.

It is an arithmetic number, because the mean of its divisors is an integer number (1207081732311).

Almost surely, 210023044553441 is an apocalyptic number.

It is an amenable number.

10023044553441 is a deficient number, since it is larger than the sum of its proper divisors (4461936234291).

10023044553441 is a wasteful number, since it uses less digits than its factorization.

10023044553441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557674320 (or 557674317 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10023044553441 its reverse (14435544032001), we get a palindrome (24458588585442).

The spelling of 10023044553441 in words is "ten trillion, twenty-three billion, forty-four million, five hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 9 1997 5991 17973 557672317 1673016951 5019050853 1113671617049 3341014851147 10023044553441