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2210112012029 is a prime number
BaseRepresentation
bin100000001010010100111…
…100001111111011111101
321211021200111122222012112
4200022110330033323331
5242202302133341104
64411151134343405
7315450431065505
oct40122474177375
97737614588175
102210112012029
11782337682319
122b840205ab65
1313054982bacc
1478d81930a05
153c75408886e
hex20294f0fefd

2210112012029 has 2 divisors, whose sum is σ = 2210112012030. Its totient is φ = 2210112012028.

The previous prime is 2210112011951. The next prime is 2210112012047. The reversal of 2210112012029 is 9202102110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1291393596025 + 918718416004 = 1136395^2 + 958498^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210112012029 - 224 = 2210095234813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210112011995 and 2210112012013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210112015029) 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, 1105056006014 + 1105056006015.

It is an arithmetic number, because the mean of its divisors is an integer number (1105056006015).

Almost surely, 22210112012029 is an apocalyptic number.

It is an amenable number.

2210112012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210112012029 is an equidigital number, since it uses as much as digits as its factorization.

2210112012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 2210112012029 in words is "two trillion, two hundred ten billion, one hundred twelve million, twelve thousand, twenty-nine".