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21303221213120 = 2657111998235279
BaseRepresentation
bin1001101100000000010101…
…11011101101011111000000
32210102120100010002112120112
410312000022323231133000
510243012444112304440
6113150321551330452
74326051452404220
oct466001273553700
983376303075515
1021303221213120
116873711001330
122480859820a28
13bb6b67866332
1453911d554080
1526e22b999965
hex13600aeed7c0

21303221213120 has 448 divisors, whose sum is σ = 63652773888000. Its totient is φ = 6597320970240.

The previous prime is 21303221213119. The next prime is 21303221213161. The reversal of 21303221213120 is 2131212230312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4035462641 + ... + 4035467919.

Almost surely, 221303221213120 is an apocalyptic number.

21303221213120 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 21303221213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31826386944000).

21303221213120 is an abundant number, since it is smaller than the sum of its proper divisors (42349552674880).

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

21303221213120 is a wasteful number, since it uses less digits than its factorization.

21303221213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21303221213120 its reverse (2131212230312), we get a palindrome (23434433443432).

The spelling of 21303221213120 in words is "twenty-one trillion, three hundred three billion, two hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".