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20133322129 is a prime number
BaseRepresentation
bin10010110000000010…
…100001110110010001
31220222010101201211101
4102300002201312101
5312213112302004
613125450544401
71311631262104
oct226002416621
956863351741
1020133322129
1185a180a9a8
123a9a738101
131b8b1b757b
14d8dcac73b
157cc803ba4
hex4b00a1d91

20133322129 has 2 divisors, whose sum is σ = 20133322130. Its totient is φ = 20133322128.

The previous prime is 20133322091. The next prime is 20133322133. The reversal of 20133322129 is 92122333102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11641331025 + 8491991104 = 107895^2 + 92152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20133322129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20133322097 and 20133322106.

It is not a weakly prime, because it can be changed into another prime (20133322229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066661064 + 10066661065.

It is an arithmetic number, because the mean of its divisors is an integer number (10066661065).

Almost surely, 220133322129 is an apocalyptic number.

It is an amenable number.

20133322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133322129 is an equidigital number, since it uses as much as digits as its factorization.

20133322129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 20133322129 in words is "twenty billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty-nine".