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21303121323231 = 33112193740123131
BaseRepresentation
bin1001101100000000001001…
…11110101010010011011111
32210102120002011010121102000
410312000010332222103133
510243012243024320411
6113150304022333343
74326046130351106
oct466000476522337
983376064117360
1021303121323231
11687366a685600
12248083028a253
13bb6b4cc609a7
1453911019103d
1526e222d17956
hex136004faa4df

21303121323231 has 192 divisors, whose sum is σ = 37597975564800. Its totient is φ = 11870686080000.

The previous prime is 21303121323181. The next prime is 21303121323233. The reversal of 21303121323231 is 13232312130312.

21303121323231 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 312 + 1 + 323 + 23 + 1 = 666.

It is not a de Polignac number, because 21303121323231 - 213 = 21303121315039 is a prime.

It is a super-2 number, since 2×213031213232312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21303121323195 and 21303121323204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303121323233) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 920965536 + ... + 920988666.

It is an arithmetic number, because the mean of its divisors is an integer number (195822789400).

Almost surely, 221303121323231 is an apocalyptic number.

21303121323231 is a deficient number, since it is larger than the sum of its proper divisors (16294854241569).

21303121323231 is a wasteful number, since it uses less digits than its factorization.

21303121323231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23619 (or 23602 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21303121323231 its reverse (13232312130312), we get a palindrome (34535433453543).

It can be divided in two parts, 2130312 and 1323231, that added together give a palindrome (3453543).

The spelling of 21303121323231 in words is "twenty-one trillion, three hundred three billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred thirty-one".