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21220023013200 = 24325211535859167
BaseRepresentation
bin1001101001100101010111…
…11011110000111101010000
32210010121120220000002001200
410310302223323300331100
510240132101342410300
6113044202145231200
74320044644360464
oct464625373607520
983117526002050
1021220023013200
1168413a7871320
1224686ba932500
13bac068c7313b
145350a9b3c4a4
1526beac836200
hex134cabef0f50

21220023013200 has 180 divisors, whose sum is σ = 80333863029888. Its totient is φ = 5144247993600.

The previous prime is 21220023013109. The next prime is 21220023013201. The reversal of 21220023013200 is 231032002212.

21220023013200 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 230 + 13 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220023013201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267889984 + ... + 267969183.

Almost surely, 221220023013200 is an apocalyptic number.

21220023013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220023013200 is an abundant number, since it is smaller than the sum of its proper divisors (59113840016688).

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

21220023013200 is a wasteful number, since it uses less digits than its factorization.

21220023013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535859202 (or 535859188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21220023013200 its reverse (231032002212), we get a palindrome (21451055015412).

The spelling of 21220023013200 in words is "twenty-one trillion, two hundred twenty billion, twenty-three million, thirteen thousand, two hundred".