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10024314104045 = 543139866938693
BaseRepresentation
bin1001000111011111011110…
…1011100110100011101101
31022111022111200111201021102
42101313313223212203231
52303214243402312140
633153034544412445
72053142563666103
oct221676753464355
938438450451242
1010024314104045
113215318a8428a
12115a942617125
1357939a550237
1426927236dc73
15125b4e7cbe15
hex91df7ae68ed

10024314104045 has 32 divisors (see below), whose sum is σ = 12399229180800. Its totient is φ = 7775502223104.

The previous prime is 10024314104017. The next prime is 10024314104089. The reversal of 10024314104045 is 54040141342001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024314104045 is a prime.

It is a super-2 number, since 2×100243141040452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024314103999 and 10024314104017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259053719 + ... + 259092411.

It is an arithmetic number, because the mean of its divisors is an integer number (387475911900).

Almost surely, 210024314104045 is an apocalyptic number.

It is an amenable number.

10024314104045 is a deficient number, since it is larger than the sum of its proper divisors (2374915076755).

10024314104045 is a wasteful number, since it uses less digits than its factorization.

10024314104045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47549.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10024314104045 its reverse (54040141342001), we get a palindrome (64064455446046).

The spelling of 10024314104045 in words is "ten trillion, twenty-four billion, three hundred fourteen million, one hundred four thousand, forty-five".

Divisors: 1 5 43 139 215 695 5977 8669 29885 38693 43345 193465 372767 1204991 1663799 1863835 5378327 6024955 8318995 26891635 51814613 231268061 259073065 335429617 1156340305 1677148085 14423473531 46624716763 72117367655 233123583815 2004862820809 10024314104045