Search a number
-
+
32122200111232 = 2771122879102913
BaseRepresentation
bin1110100110111000010000…
…10100111011100010000000
311012201212000100121110011211
413103130020110323202000
513202242231212024412
6152152422432415504
76523516030611160
oct723341024734200
9135655010543154
1032122200111232
11a264a485a2100
1237295b79a7594
1314c015892ab3a
147d0a1944c5a0
153aa88ae9bca7
hex1d370853b880

32122200111232 has 192 divisors, whose sum is σ = 80417164262400. Its totient is φ = 12510674288640.

The previous prime is 32122200111203. The next prime is 32122200111233. The reversal of 32122200111232 is 23211100222123.

It is a super-2 number, since 2×321222001112322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (32122200111233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312078208 + ... + 312181120.

It is an arithmetic number, because the mean of its divisors is an integer number (418839397200).

Almost surely, 232122200111232 is an apocalyptic number.

32122200111232 is a gapful number since it is divisible by the number (32) 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 32122200111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40208582131200).

32122200111232 is an abundant number, since it is smaller than the sum of its proper divisors (48294964151168).

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

32122200111232 is a wasteful number, since it uses less digits than its factorization.

32122200111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105835 (or 105812 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 32122200111232 its reverse (23211100222123), we get a palindrome (55333300333355).

The spelling of 32122200111232 in words is "thirty-two trillion, one hundred twenty-two billion, two hundred million, one hundred eleven thousand, two hundred thirty-two".