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21331221102120 = 2335193167267231
BaseRepresentation
bin1001101100110100011111…
…10110110011111000101000
32210112020121110211021110110
410312122033312303320220
510243442320100231440
6113211232214214320
74331062354466526
oct466321766637050
983466543737413
1021331221102120
11688457a232366
1224861729543a0
13bb96aa7456a7
1453a6180b5316
1526ed19bdd080
hex13668fdb3e28

21331221102120 has 384 divisors, whose sum is σ = 70589082009600. Its totient is φ = 5137189516800.

The previous prime is 21331221102119. The next prime is 21331221102197. The reversal of 21331221102120 is 2120112213312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317248905 + ... + 317316135.

It is an arithmetic number, because the mean of its divisors is an integer number (183825734400).

Almost surely, 221331221102120 is an apocalyptic number.

21331221102120 is a gapful number since it is divisible by the number (20) 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 21331221102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294541004800).

21331221102120 is an abundant number, since it is smaller than the sum of its proper divisors (49257860907480).

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

21331221102120 is a wasteful number, since it uses less digits than its factorization.

21331221102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67429 (or 67358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21331221102120 its reverse (2120112213312), we get a palindrome (23451333315432).

The spelling of 21331221102120 in words is "twenty-one trillion, three hundred thirty-one billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".