Search a number
-
+
10000012022200 = 23522326327113049
BaseRepresentation
bin1001000110000100111100…
…1010100001000110111000
31022101222210000212001012001
42101201033022201012320
52302320011034202300
633133535254430344
72051322422465404
oct221411712410670
938358700761161
1010000012022200
113205a880a5522
12115609b9623b4
13576cc67a7655
1426800897c104
151251cb01a16a
hex9184f2a11b8

10000012022200 has 192 divisors, whose sum is σ = 24370118784000. Its totient is φ = 3808888089600.

The previous prime is 10000012022191. The next prime is 10000012022207. The reversal of 10000012022200 is 222021000001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000012022207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3279766276 + ... + 3279769324.

It is an arithmetic number, because the mean of its divisors is an integer number (126927702000).

Almost surely, 210000012022200 is an apocalyptic number.

10000012022200 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 10000012022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185059392000).

10000012022200 is an abundant number, since it is smaller than the sum of its proper divisors (14370106761800).

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

10000012022200 is a wasteful number, since it uses less digits than its factorization.

10000012022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000012022200 its reverse (222021000001), we get a palindrome (10222033022201).

The spelling of 10000012022200 in words is "ten trillion, twelve million, twenty-two thousand, two hundred".