Search a number
-
+
213022031313120 = 25354147230304047
BaseRepresentation
bin110000011011111000001110…
…100000010111100011100000
31000221020201002121221020211220
4300123320032200113203200
5210410123110004004440
62033020545321335040
762604222343212621
oct6033701640274340
91027221077836756
10213022031313120
116196a155226737
121ba8511b337480
1391b2b78410b43
143a8646da1ba48
1519962d298c8d0
hexc1be0e8178e0

213022031313120 has 192 divisors, whose sum is σ = 702010956681216. Its totient is φ = 54241208913920.

The previous prime is 213022031313101. The next prime is 213022031313121. The reversal of 213022031313120 is 21313130220312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022031313121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114227064 + ... + 116076983.

It is an arithmetic number, because the mean of its divisors is an integer number (3656307066048).

Almost surely, 2213022031313120 is an apocalyptic number.

213022031313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213022031313120 is an abundant number, since it is smaller than the sum of its proper divisors (488988925368096).

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

213022031313120 is a wasteful number, since it uses less digits than its factorization.

213022031313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230304153 (or 230304145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213022031313120 its reverse (21313130220312), we get a palindrome (234335161533432).

The spelling of 213022031313120 in words is "two hundred thirteen trillion, twenty-two billion, thirty-one million, three hundred thirteen thousand, one hundred twenty".