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213312020131 = 737517812249
BaseRepresentation
bin1100011010101001100…
…0110001111010100011
3202101121002012101010001
43012222120301322203
511443330334121011
6241554424520431
721261033153220
oct3065230617243
9671532171101
10213312020131
118251308aa31
1235411920117
1317166239b72
14a47806c947
155836eab7c1
hex31aa631ea3

213312020131 has 8 divisors (see below), whose sum is σ = 243791964000. Its totient is φ = 182833775808.

The previous prime is 213312020081. The next prime is 213312020153. The reversal of 213312020131 is 131020213312.

213312020131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213312020131 - 211 = 213312018083 is a prime.

It is a super-2 number, since 2×2133120201312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213312020099 and 213312020108.

It is not an unprimeable number, because it can be changed into a prime (213312020191) 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 7 ways as a sum of consecutive naturals, for example, 143506 + ... + 668743.

It is an arithmetic number, because the mean of its divisors is an integer number (30473995500).

Almost surely, 2213312020131 is an apocalyptic number.

213312020131 is a deficient number, since it is larger than the sum of its proper divisors (30479943869).

213312020131 is an equidigital number, since it uses as much as digits as its factorization.

213312020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849773.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213312020131 its reverse (131020213312), we get a palindrome (344332233443).

The spelling of 213312020131 in words is "two hundred thirteen billion, three hundred twelve million, twenty thousand, one hundred thirty-one".

Divisors: 1 7 37517 262619 812249 5685743 30473145733 213312020131