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10124224432 = 247242337307
BaseRepresentation
bin10010110110111001…
…10110011110110000
3222010120111220000021
421123130312132300
5131213300140212
64352341133224
7505613326210
oct113334663660
928116456007
1010124224432
114325951733
121b666ba214
13c5466315a
146c085c240
153e3c4a307
hex25b7367b0

10124224432 has 40 divisors (see below), whose sum is σ = 22427778816. Its totient is φ = 4337046336.

The previous prime is 10124224403. The next prime is 10124224441. The reversal of 10124224432 is 23442242101.

It is a junction number, because it is equal to n+sod(n) for n = 10124224397 and 10124224406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252723 + ... + 290029.

Almost surely, 210124224432 is an apocalyptic number.

It is an amenable number.

10124224432 is an abundant number, since it is smaller than the sum of its proper divisors (12303554384).

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

10124224432 is a wasteful number, since it uses less digits than its factorization.

10124224432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39745 (or 39739 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10124224432 its reverse (23442242101), we get a palindrome (33566466533).

The spelling of 10124224432 in words is "ten billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 2423 4846 9692 16961 19384 33922 37307 38768 67844 74614 135688 149228 261149 271376 298456 522298 596912 1044596 2089192 4178384 90394861 180789722 361579444 632764027 723158888 1265528054 1446317776 2531056108 5062112216 10124224432