Search a number
-
+
21322100122312 = 2311242296592299
BaseRepresentation
bin1001101100100011100000…
…01101000010001011001000
32210111101001211002111100111
410312101300031002023020
510243320130112403222
6113203123152044104
74330320342443623
oct466216015021310
983441054074314
1021322100122312
116880719720220
122484448233634
13bb8885bb7512
14539dd09aadba
1526e9840b5777
hex1364703422c8

21322100122312 has 16 divisors (see below), whose sum is σ = 43613386614000. Its totient is φ = 9691863691920.

The previous prime is 21322100122273. The next prime is 21322100122321.

21322100122312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121148296062 + ... + 121148296237.

It is an arithmetic number, because the mean of its divisors is an integer number (2725836663375).

Almost surely, 221322100122312 is an apocalyptic number.

21322100122312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21322100122312 is an abundant number, since it is smaller than the sum of its proper divisors (22291286491688).

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

21322100122312 is a wasteful number, since it uses less digits than its factorization.

21322100122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242296592316 (or 242296592312 counting only the distinct ones).

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

It can be divided in two parts, 21322100 and 122312, that added together give a palindrome (21444412).

The spelling of 21322100122312 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 242296592299 484593184598 969186369196 1938372738392 2665262515289 5330525030578 10661050061156 21322100122312