Search a number
-
+
10221231200200 = 235251106156001
BaseRepresentation
bin1001010010111101000011…
…0110101101011111001000
31100012010210011202122201221
42110233100312231133020
52314431040141401300
633423322505251424
72103313431461206
oct224572066553710
940163704678657
1010221231200200
113290888600169
121190b39793b74
13591b1cc4bb47
142749d2c28076
1512ad2728331a
hex94bd0dad7c8

10221231200200 has 24 divisors (see below), whose sum is σ = 23764362540930. Its totient is φ = 4088492480000.

The previous prime is 10221231200177. The next prime is 10221231200203. The reversal of 10221231200200 is 200213212201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9420639321636 + 800591878564 = 3069306^2 + 894758^2 .

It is not an unprimeable number, because it can be changed into a prime (10221231200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25553077801 + ... + 25553078200.

Almost surely, 210221231200200 is an apocalyptic number.

10221231200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221231200200 is an abundant number, since it is smaller than the sum of its proper divisors (13543131340730).

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

10221231200200 is a wasteful number, since it uses less digits than its factorization.

10221231200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51106156017 (or 51106156008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10221231200200 its reverse (200213212201), we get a palindrome (10421444412401).

The spelling of 10221231200200 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51106156001 102212312002 204424624004 255530780005 408849248008 511061560010 1022123120020 1277653900025 2044246240040 2555307800050 5110615600100 10221231200200