Search a number
-
+
10232130400224 = 253421253170289
BaseRepresentation
bin1001010011100101101001…
…1111110110111111100000
31100020011220202112101101220
42110321122133312333200
52320120400340301344
633432324213055040
72104150505240445
oct224713237667740
940204822471356
1010232130400224
113295470950497
12119307b927480
13592b69012825
142753485799cc
1512b264060c19
hex94e5a7f6fe0

10232130400224 has 48 divisors (see below), whose sum is σ = 26923141319760. Its totient is φ = 3402608670720.

The previous prime is 10232130400111. The next prime is 10232130400237. The reversal of 10232130400224 is 42200403123201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10232130400194 and 10232130400203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126544729 + ... + 126625560.

It is an arithmetic number, because the mean of its divisors is an integer number (560898777495).

Almost surely, 210232130400224 is an apocalyptic number.

It is an amenable number.

10232130400224 is an abundant number, since it is smaller than the sum of its proper divisors (16691010919536).

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

10232130400224 is a wasteful number, since it uses less digits than its factorization.

10232130400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253170723 (or 253170715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10232130400224 its reverse (42200403123201), we get a palindrome (52432533523425).

The spelling of 10232130400224 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 421 842 1263 1684 2526 3368 5052 6736 10104 13472 20208 40416 253170289 506340578 759510867 1012681156 1519021734 2025362312 3038043468 4050724624 6076086936 8101449248 12152173872 24304347744 106584691669 213169383338 319754075007 426338766676 639508150014 852677533352 1279016300028 1705355066704 2558032600056 3410710133408 5116065200112 10232130400224