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220211112131 is a prime number
BaseRepresentation
bin1100110100010110011…
…0101110100011000011
3210001101220001120010222
43031011212232203003
512101443021042011
6245055200213255
721624015366113
oct3150546564303
9701356046128
10220211112131
118543348295a
123681830a22b
13179c5671c1a
14a93043d043
155adc9e1ddb
hex33459ae8c3

220211112131 has 2 divisors, whose sum is σ = 220211112132. Its totient is φ = 220211112130.

The previous prime is 220211112113. The next prime is 220211112137. The reversal of 220211112131 is 131211112022.

It is a happy number.

220211112131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (220211112113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220211112131 is a prime.

It is a super-2 number, since 2×2202111121312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220211112137) 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 as a sum of consecutive naturals, namely, 110105556065 + 110105556066.

It is an arithmetic number, because the mean of its divisors is an integer number (110105556066).

Almost surely, 2220211112131 is an apocalyptic number.

220211112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

220211112131 is an equidigital number, since it uses as much as digits as its factorization.

220211112131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 220211112131 its reverse (131211112022), we get a palindrome (351422224153).

The spelling of 220211112131 in words is "two hundred twenty billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-one".