Search a number
-
+
10442032223 = 723596071811
BaseRepresentation
bin10011011100110010…
…01100010001011111
3222221201112012100012
421232121030101133
5132341130012343
64444052553435
7516522544430
oct115631142137
928851465305
1010442032223
1144792893a7
12203502287b
13ca54575bc
14710b49487
15411ac5718
hex26e64c45f

10442032223 has 32 divisors (see below), whose sum is σ = 12691537920. Its totient is φ = 8397560160.

The previous prime is 10442032207. The next prime is 10442032229. The reversal of 10442032223 is 32223024401.

It is a cyclic number.

It is not a de Polignac number, because 10442032223 - 24 = 10442032207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442032229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5764988 + ... + 5766798.

It is an arithmetic number, because the mean of its divisors is an integer number (396610560).

Almost surely, 210442032223 is an apocalyptic number.

10442032223 is a deficient number, since it is larger than the sum of its proper divisors (2249505697).

10442032223 is a wasteful number, since it uses less digits than its factorization.

10442032223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507.

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10442032223 its reverse (32223024401), we get a palindrome (42665056624).

The spelling of 10442032223 in words is "ten billion, four hundred forty-two million, thirty-two thousand, two hundred twenty-three".

Divisors: 1 7 23 59 161 413 607 1357 1811 4249 9499 12677 13961 35813 41653 97727 106849 250691 291571 747943 823699 1099277 2457527 5765893 7694939 17202689 25283371 64857343 176983597 454001401 1491718889 10442032223