Search a number
-
+
10210200331320 = 23325112337829839
BaseRepresentation
bin1001010010010011111101…
…0111010010010000111000
31100011002022102020110100200
42110210333113102100320
52314240442241100240
633414300135402200
72102443165600503
oct224447727222070
940132272213320
1010210200331320
1132871379a9100
12118a97b523360
13590a82806bb2
14274267c0013a
1512a8cdb47930
hex9493f5d2438

10210200331320 has 576 divisors, whose sum is σ = 36670056696000. Its totient is φ = 2461940490240.

The previous prime is 10210200331301. The next prime is 10210200331337. The reversal of 10210200331320 is 2313300201201.

10210200331320 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 2 + 0 + 0 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10210200331293 and 10210200331302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12169487461 + ... + 12169488299.

It is an arithmetic number, because the mean of its divisors is an integer number (63663292875).

Almost surely, 210210200331320 is an apocalyptic number.

10210200331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210200331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335028348000).

10210200331320 is an abundant number, since it is smaller than the sum of its proper divisors (26459856364680).

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

10210200331320 is a wasteful number, since it uses less digits than its factorization.

10210200331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10210200331320 its reverse (2313300201201), we get a palindrome (12523500532521).

The spelling of 10210200331320 in words is "ten trillion, two hundred ten billion, two hundred million, three hundred thirty-one thousand, three hundred twenty".