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124033424330421 = 32193782889236507
BaseRepresentation
bin11100001100111011001000…
…001100101000111010110101
3121021011110221121020122111100
4130030323020030220322311
5112224130423112033141
61115444100222200313
735061055611256614
oct3414731014507265
9537143847218440
10124033424330421
1136580309542a51
1211ab2612a23099
1354293bcb817c8
14228b36d51987b
15e515d9b9b0b6
hex70cec8328eb5

124033424330421 has 48 divisors (see below), whose sum is σ = 193688983425600. Its totient is φ = 76218444267264.

The previous prime is 124033424330419. The next prime is 124033424330423.

124033424330421 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 3 + 342 + 4 + 3 + 304 + 2 + 1 = 666.

124033424330421 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (124033424330419) and next prime (124033424330423).

It is not a de Polignac number, because 124033424330421 - 21 = 124033424330419 is a prime.

It is a super-2 number, since 2×1240334243304212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124033424330423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524320450 + ... + 524556956.

It is an arithmetic number, because the mean of its divisors is an integer number (4035187154700).

Almost surely, 2124033424330421 is an apocalyptic number.

It is an amenable number.

124033424330421 is a deficient number, since it is larger than the sum of its proper divisors (69655559095179).

124033424330421 is a wasteful number, since it uses less digits than its factorization.

124033424330421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319458 (or 319455 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 124033424330421 in words is "one hundred twenty-four trillion, thirty-three billion, four hundred twenty-four million, three hundred thirty thousand, four hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 703 2109 6327 82889 236507 248667 709521 746001 1574891 2128563 3066893 4493633 4724673 8750759 9200679 13480899 14174019 26252277 27602037 40442697 58270967 78756831 166264421 174812901 498793263 524438703 1496379789 19603828723 58811486169 176434458507 372472745737 725341662751 1117418237211 2176024988253 3352254711633 6528074964759 13781491592269 41344474776807 124033424330421