Search a number
-
+
222131300131 = 1371240662297
BaseRepresentation
bin1100111011100000001…
…1101010011100100011
3210020100201020012220001
43032320003222130203
512114411103101011
6250013512400431
722022422616626
oct3167003523443
9706321205801
10222131300131
1186229367594
12370733a6117
1317c40423640
14aa7347ddbd
155ba138b7c1
hex33b80ea723

222131300131 has 8 divisors (see below), whose sum is σ = 242587596384. Its totient is φ = 202156328640.

The previous prime is 222131300129. The next prime is 222131300137. The reversal of 222131300131 is 131003131222.

222131300131 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 222131300131 - 21 = 222131300129 is a prime.

It is a super-2 number, since 2×2221313001312 (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 = 222131300099 and 222131300108.

It is not an unprimeable number, because it can be changed into a prime (222131300137) 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, 120330226 + ... + 120332071.

It is an arithmetic number, because the mean of its divisors is an integer number (30323449548).

Almost surely, 2222131300131 is an apocalyptic number.

222131300131 is a deficient number, since it is larger than the sum of its proper divisors (20456296253).

222131300131 is a wasteful number, since it uses less digits than its factorization.

222131300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240662381.

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

Adding to 222131300131 its reverse (131003131222), we get a palindrome (353134431353).

The spelling of 222131300131 in words is "two hundred twenty-two billion, one hundred thirty-one million, three hundred thousand, one hundred thirty-one".

Divisors: 1 13 71 923 240662297 3128609861 17087023087 222131300131