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2131224033089 is a prime number
BaseRepresentation
bin11111000000110110110…
…110011111011101000001
321112202001200000102022202
4133000312312133131001
5234404221323024324
64311023143242545
7306655501245014
oct37006666373501
97482050012282
102131224033089
11751935451108
122a5066749455
13125c86bc6428
147521a74337b
153a6885278ae
hex1f036d9f741

2131224033089 has 2 divisors, whose sum is σ = 2131224033090. Its totient is φ = 2131224033088.

The previous prime is 2131224032999. The next prime is 2131224033097. The reversal of 2131224033089 is 9803304221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1993744000000 + 137480033089 = 1412000^2 + 370783^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2131224033089 is a prime.

It is a super-2 number, since 2×21312240330892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2131224053089) 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, 1065612016544 + 1065612016545.

It is an arithmetic number, because the mean of its divisors is an integer number (1065612016545).

Almost surely, 22131224033089 is an apocalyptic number.

It is an amenable number.

2131224033089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131224033089 is an equidigital number, since it uses as much as digits as its factorization.

2131224033089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 2131224033089 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-four million, thirty-three thousand, eighty-nine".