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213221232120 = 2335132947100279
BaseRepresentation
bin1100011010010011111…
…0011100110111111000
3202101100202100212101010
43012210332130313320
511443134113411440
6241541422553520
721255551366151
oct3064476346770
9671322325333
10213221232120
1182476910616
12353a74388a0
13171504a0350
14a469d98928
15582e026580
hex31a4f9cdf8

213221232120 has 256 divisors, whose sum is σ = 727792128000. Its totient is φ = 49596696576.

The previous prime is 213221232079. The next prime is 213221232131. The reversal of 213221232120 is 21232122312.

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, 2076141 + ... + 2176419.

It is an arithmetic number, because the mean of its divisors is an integer number (2842938000).

Almost surely, 2213221232120 is an apocalyptic number.

213221232120 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 213221232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363896064000).

213221232120 is an abundant number, since it is smaller than the sum of its proper divisors (514570895880).

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

213221232120 is a wasteful number, since it uses less digits than its factorization.

213221232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100382 (or 100378 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213221232120 its reverse (21232122312), we get a palindrome (234453354432).

The spelling of 213221232120 in words is "two hundred thirteen billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred twenty".