Search a number
-
+
10221010132200 = 23352713011870541
BaseRepresentation
bin1001010010111100001110…
…1011011001110011101000
31100012010012202210020110020
42110233003223121303220
52314430112043212300
633423244531120440
72103305105436120
oct224570353316350
940163182706406
1010221010132200
11329078483853a
121190a97743120
13591ab61c928a
142749b171dc80
1512ad12b668a0
hex94bc3ad9ce8

10221010132200 has 192 divisors, whose sum is σ = 36239431777920. Its totient is φ = 2334433920000.

The previous prime is 10221010132199. The next prime is 10221010132213. The reversal of 10221010132200 is 223101012201.

It is a super-3 number, since 3×102210101322003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221010132200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4528930 + ... + 6399470.

It is an arithmetic number, because the mean of its divisors is an integer number (188747040510).

Almost surely, 210221010132200 is an apocalyptic number.

10221010132200 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 10221010132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119715888960).

10221010132200 is an abundant number, since it is smaller than the sum of its proper divisors (26018421645720).

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

10221010132200 is a wasteful number, since it uses less digits than its factorization.

10221010132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871868 (or 1871859 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221010132200 its reverse (223101012201), we get a palindrome (10444111144401).

The spelling of 10221010132200 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred thirty-two thousand, two hundred".