Search a number
-
+
10032224443132 = 2217241533993739
BaseRepresentation
bin1001000111111100111100…
…1011001001101011111100
31022112001220222012120112011
42101333033023021223330
52303331443424140012
633200423522421004
72053542605525143
oct221771713115374
938461828176464
1010032224443132
113218708182101
12116038b801764
1357a05b32c858
142697c2b7875a
15125e63eb61a7
hex91fcf2c9afc

10032224443132 has 72 divisors (see below), whose sum is σ = 19465217185680. Its totient is φ = 4518994421760.

The previous prime is 10032224443117. The next prime is 10032224443133. The reversal of 10032224443132 is 23134442223001.

It is a junction number, because it is equal to n+sod(n) for n = 10032224443094 and 10032224443103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032224443133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515119 + ... + 4508857.

It is an arithmetic number, because the mean of its divisors is an integer number (270350238690).

Almost surely, 210032224443132 is an apocalyptic number.

It is an amenable number.

10032224443132 is a deficient number, since it is larger than the sum of its proper divisors (9432992742548).

10032224443132 is a wasteful number, since it uses less digits than its factorization.

10032224443132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993871 (or 3993852 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 10032224443132 its reverse (23134442223001), we get a palindrome (33166666666133).

The spelling of 10032224443132 in words is "ten trillion, thirty-two billion, two hundred twenty-four million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 41 53 68 82 106 164 212 289 578 697 901 1156 1394 1802 2173 2788 3604 4346 8692 11849 15317 23698 30634 36941 47396 61268 73882 147764 627997 1255994 2511988 3993739 7987478 15974956 67893563 135787126 163743299 211668167 271574252 327486598 423336334 654973196 846672668 1154190571 2308381142 2783636083 3598358839 4616762284 5567272166 7196717678 8678394847 11134544332 14393435356 17356789694 34713579388 47321813411 61172100263 94643626822 122344200526 147532712399 189287253644 244688401052 295065424798 590130849596 2508056110783 5016112221566 10032224443132