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112222212101 is a prime number
BaseRepresentation
bin110100010000011110…
…1110001000000000101
3101201122221220001021222
41220200331301000011
53314312341241401
6123315411250125
711051654030636
oct1504075610005
9351587801258
10112222212101
1143658570a3a
12198baba9945
13a775a077cc
1456083a388d
152dbc250c1b
hex1a20f71005

112222212101 has 2 divisors, whose sum is σ = 112222212102. Its totient is φ = 112222212100.

The previous prime is 112222212029. The next prime is 112222212133. The reversal of 112222212101 is 101212222211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56608781476 + 55613430625 = 237926^2 + 235825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112222212101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112222212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112222272101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56111106050 + 56111106051.

It is an arithmetic number, because the mean of its divisors is an integer number (56111106051).

Almost surely, 2112222212101 is an apocalyptic number.

It is an amenable number.

112222212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112222212101 is an equidigital number, since it uses as much as digits as its factorization.

112222212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112222212101 its reverse (101212222211), we get a palindrome (213434434312).

The spelling of 112222212101 in words is "one hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".