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112202211101 is a prime number
BaseRepresentation
bin110100001111111000…
…1011101111100011101
3101201121120020220002012
41220133301131330131
53314242231223401
6123313414441005
711051322025661
oct1503761357435
9351546226065
10112202211101
114364824a992
12198b4363165
13a771823ab6
1456058788a1
152dba5ee8bb
hex1a1fc5df1d

112202211101 has 2 divisors, whose sum is σ = 112202211102. Its totient is φ = 112202211100.

The previous prime is 112202211097. The next prime is 112202211109. The reversal of 112202211101 is 101112202211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67237008601 + 44965202500 = 259301^2 + 212050^2 .

It is a cyclic number.

It is not a de Polignac number, because 112202211101 - 22 = 112202211097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112202211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56101105550 + 56101105551.

It is an arithmetic number, because the mean of its divisors is an integer number (56101105551).

Almost surely, 2112202211101 is an apocalyptic number.

It is an amenable number.

112202211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112202211101 is an equidigital number, since it uses as much as digits as its factorization.

112202211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112202211101 its reverse (101112202211), we get a palindrome (213314413312).

It can be divided in two parts, 112202211 and 101, that multiplied together give a palindrome (11332423311).

The spelling of 112202211101 in words is "one hundred twelve billion, two hundred two million, two hundred eleven thousand, one hundred one".