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10424204307 = 331147746773
BaseRepresentation
bin10011011010101010…
…01011110000010011
3222220110222110001000
421231111023300103
5132322044014212
64442214513043
7516215163126
oct115525136023
928813873030
1010424204307
11446a211a90
12202b065783
13ca1854a3a
1470c6283bd
154102531dc
hex26d54bc13

10424204307 has 32 divisors (see below), whose sum is σ = 17205672960. Its totient is φ = 6183272160.

The previous prime is 10424204291. The next prime is 10424204333. The reversal of 10424204307 is 70340242401.

10424204307 is a `hidden beast` number, since 1 + 0 + 424 + 204 + 30 + 7 = 666.

10424204307 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 10424204307 - 24 = 10424204291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10424204107) 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 31 ways as a sum of consecutive naturals, for example, 359428 + ... + 387345.

It is an arithmetic number, because the mean of its divisors is an integer number (537677280).

Almost surely, 210424204307 is an apocalyptic number.

10424204307 is a deficient number, since it is larger than the sum of its proper divisors (6781468653).

10424204307 is a wasteful number, since it uses less digits than its factorization.

10424204307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746840 (or 746834 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 10424204307 its reverse (70340242401), we get a palindrome (80764446708).

The spelling of 10424204307 in words is "ten billion, four hundred twenty-four million, two hundred four thousand, three hundred seven".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 1269 1551 4653 13959 746773 2240319 6720957 8214503 20162871 24643509 35098331 73930527 105294993 221791581 315884979 386081641 947654937 1158244923 3474734769 10424204307