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10204123424 = 251134983063
BaseRepresentation
bin10011000000011011…
…01001000100100000
3222100010212011211012
421200031221010200
5131344223422144
64404313440052
7510603421655
oct114015510440
928303764735
1010204123424
114366a63a60
121b89410028
13c68089571
146cb2d9c2c
153eac7de9e
hex260369120

10204123424 has 48 divisors (see below), whose sum is σ = 21978734400. Its totient is φ = 4624892160.

The previous prime is 10204123387. The next prime is 10204123459. The reversal of 10204123424 is 42432140201.

It is a self number, because there is not a number n which added to its sum of digits gives 10204123424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81317 + ... + 164379.

It is an arithmetic number, because the mean of its divisors is an integer number (457890300).

Almost surely, 210204123424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989367200).

10204123424 is an abundant number, since it is smaller than the sum of its proper divisors (11774610976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204123424 is a wasteful number, since it uses less digits than its factorization.

10204123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83433 (or 83425 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10204123424 its reverse (42432140201), we get a palindrome (52636263625).

The spelling of 10204123424 in words is "ten billion, two hundred four million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 349 352 698 1396 2792 3839 5584 7678 11168 15356 30712 61424 83063 122848 166126 332252 664504 913693 1329008 1827386 2658016 3654772 7309544 14619088 28988987 29238176 57977974 115955948 231911896 318878857 463823792 637757714 927647584 1275515428 2551030856 5102061712 10204123424