Search a number
-
+
10320431212 = 22713271104623
BaseRepresentation
bin10011001110010010…
…10100100001101100
3222122020201020010001
421213021110201230
5132114012244322
64424030354044
7513515134510
oct114711244154
928566636101
1010320431212
1144166837a3
12200035b924
13c861bca40
146dc934140
154060a5827
hex26725486c

10320431212 has 48 divisors (see below), whose sum is σ = 22310858752. Its totient is φ = 4067703360.

The previous prime is 10320431159. The next prime is 10320431243. The reversal of 10320431212 is 21213402301.

It is a happy number.

It is a super-2 number, since 2×103204312122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10320431212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46333 + ... + 150955.

Almost surely, 210320431212 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 10320431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155429376).

10320431212 is an abundant number, since it is smaller than the sum of its proper divisors (11990427540).

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

10320431212 is a wasteful number, since it uses less digits than its factorization.

10320431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104918 (or 104916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10320431212 its reverse (21213402301), we get a palindrome (31533833513).

The spelling of 10320431212 in words is "ten billion, three hundred twenty million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 271 364 542 1084 1897 3523 3794 7046 7588 14092 24661 49322 98644 104623 209246 418492 732361 1360099 1464722 2720198 2929444 5440396 9520693 19041386 28352833 38082772 56705666 113411332 198469831 368586829 396939662 737173658 793879324 1474347316 2580107803 5160215606 10320431212