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10423442133 = 3213432837321
BaseRepresentation
bin10011011010100100…
…10001101011010101
3222220102112201112100
421231102101223111
5132321400122013
64442150312313
7516205540056
oct115522215325
928812481470
1010423442133
114469841395
12202a958699
13ca1648b50
1470c4aa72d
15410152473
hex26d491ad5

10423442133 has 48 divisors (see below), whose sum is σ = 16652219584. Its totient is φ = 6242261760.

The previous prime is 10423442119. The next prime is 10423442143. The reversal of 10423442133 is 33124432401.

10423442133 is a `hidden beast` number, since 1 + 0 + 4 + 234 + 421 + 3 + 3 = 666.

10423442133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10423442133 - 28 = 10423441877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10423442097 and 10423442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10423442143) 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, 1420113 + ... + 1427433.

Almost surely, 210423442133 is an apocalyptic number.

10423442133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10423442133 is a deficient number, since it is larger than the sum of its proper divisors (6228777451).

10423442133 is a wasteful number, since it uses less digits than its factorization.

10423442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10423442133 its reverse (33124432401), we get a palindrome (43547874534).

The spelling of 10423442133 in words is "ten billion, four hundred twenty-three million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 39 43 117 129 283 387 559 849 1677 2547 3679 5031 7321 11037 12169 21963 33111 36507 65889 95173 109521 158197 285519 314803 474591 856557 944409 1423773 2071843 2833227 4092439 6215529 12277317 18646587 26933959 36831951 80801877 89089249 242405631 267267747 801803241 1158160237 3474480711 10423442133