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1023431224129 is a prime number
BaseRepresentation
bin11101110010010010100…
…00010010101101000001
310121211122200101221100221
432321021100102231001
5113231441343133004
62102054030543041
7133640402604556
oct16711120225501
93554580357327
101023431224129
11365042277436
12146421067a81
13756807ac4c2
143776a306a2d
151b94d856354
hexee49412b41

1023431224129 has 2 divisors, whose sum is σ = 1023431224130. Its totient is φ = 1023431224128.

The previous prime is 1023431224097. The next prime is 1023431224219. The reversal of 1023431224129 is 9214221343201.

Together with next prime (1023431224219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 584418967729 + 439012256400 = 764473^2 + 662580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023431224129 - 25 = 1023431224097 is a prime.

It is a super-2 number, since 2×10234312241292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023431224094 and 1023431224103.

It is not a weakly prime, because it can be changed into another prime (1023431227129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511715612064 + 511715612065.

It is an arithmetic number, because the mean of its divisors is an integer number (511715612065).

Almost surely, 21023431224129 is an apocalyptic number.

It is an amenable number.

1023431224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023431224129 is an equidigital number, since it uses as much as digits as its factorization.

1023431224129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1023431224129 in words is "one trillion, twenty-three billion, four hundred thirty-one million, two hundred twenty-four thousand, one hundred twenty-nine".