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2123838433 is a prime number
BaseRepresentation
bin111111010010111…
…0011001111100001
312111000101011121201
41332211303033201
513322200312213
6550425121201
7103426220533
oct17645631741
95430334551
102123838433
1199a940282
124b3329201
1327b016442
141620d3853
15c66c56dd
hex7e9733e1

2123838433 has 2 divisors, whose sum is σ = 2123838434. Its totient is φ = 2123838432.

The previous prime is 2123838391. The next prime is 2123838439. The reversal of 2123838433 is 3348383212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1872552529 + 251285904 = 43273^2 + 15852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123838433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2123838392 and 2123838401.

It is not a weakly prime, because it can be changed into another prime (2123838439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061919216 + 1061919217.

It is an arithmetic number, because the mean of its divisors is an integer number (1061919217).

Almost surely, 22123838433 is an apocalyptic number.

It is an amenable number.

2123838433 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123838433 is an equidigital number, since it uses as much as digits as its factorization.

2123838433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 37.

The square root of 2123838433 is about 46085.1216012283. The cubic root of 2123838433 is about 1285.4065004108.

The spelling of 2123838433 in words is "two billion, one hundred twenty-three million, eight hundred thirty-eight thousand, four hundred thirty-three".