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214013011320 = 233253139372027
BaseRepresentation
bin1100011101010000101…
…0110110010101111000
3202110101221020102020200
43013110022312111320
512001244312330240
6242152145322200
721314304403263
oct3072412662570
9673357212220
10214013011320
1182842846a99
1235588636360
1317248535454
14a5031c3cda
1558787c7930
hex31d42b6578

214013011320 has 192 divisors, whose sum is σ = 698853748320. Its totient is φ = 56799055872.

The previous prime is 214013011309. The next prime is 214013011327. The reversal of 214013011320 is 23110310412.

214013011320 is a `hidden beast` number, since 2 + 1 + 40 + 1 + 301 + 1 + 320 = 666.

214013011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 214013011293 and 214013011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214013011327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105580147 + ... + 105582173.

Almost surely, 2214013011320 is an apocalyptic number.

214013011320 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 214013011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349426874160).

214013011320 is an abundant number, since it is smaller than the sum of its proper divisors (484840737000).

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

214013011320 is a wasteful number, since it uses less digits than its factorization.

214013011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 214013011320 its reverse (23110310412), we get a palindrome (237123321732).

The spelling of 214013011320 in words is "two hundred fourteen billion, thirteen million, eleven thousand, three hundred twenty".