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21210313103232 = 27311294310139869
BaseRepresentation
bin1001101001010011010010…
…01011011001011110000000
32210002200112012002112122120
410310221221023121132000
510240002210123300412
6113035514444204240
74316252221452201
oct464515113313600
983080465075576
1021210313103232
116838274882240
12246684ab39680
13bab17c3c3b96
1453482832d5a8
1526bae017ab8c
hex134a692d9780

21210313103232 has 512 divisors, whose sum is σ = 65705504832000. Its totient is φ = 6001250304000.

The previous prime is 21210313103227. The next prime is 21210313103233. The reversal of 21210313103232 is 23230131301212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210313103233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531980194 + ... + 532020062.

It is an arithmetic number, because the mean of its divisors is an integer number (128331064125).

Almost surely, 221210313103232 is an apocalyptic number.

21210313103232 is a gapful number since it is divisible by the number (22) 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 21210313103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32852752416000).

21210313103232 is an abundant number, since it is smaller than the sum of its proper divisors (44495191728768).

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

21210313103232 is a wasteful number, since it uses less digits than its factorization.

21210313103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40070 (or 40058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21210313103232 its reverse (23230131301212), we get a palindrome (44440444404444).

The spelling of 21210313103232 in words is "twenty-one trillion, two hundred ten billion, three hundred thirteen million, one hundred three thousand, two hundred thirty-two".