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33021122112157 is a prime number
BaseRepresentation
bin1111000001000010101000…
…10000001110101010011101
311022220210021202221111200111
413200201110100032222131
513312004224230042112
6154121405530530021
76645461121550234
oct740412420165235
9138823252844614
1033021122112157
11a5811a7634273
12385386ab96911
131556b55c6a36a
148223335c1b1b
153c3e4da3b5a7
hex1e085440ea9d

33021122112157 has 2 divisors, whose sum is σ = 33021122112158. Its totient is φ = 33021122112156.

The previous prime is 33021122112149. The next prime is 33021122112227. The reversal of 33021122112157 is 75121122112033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23605712162041 + 9415409950116 = 4858571^2 + 3068454^2 .

It is a cyclic number.

It is not a de Polignac number, because 33021122112157 - 23 = 33021122112149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33021120112157) 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, 16510561056078 + 16510561056079.

It is an arithmetic number, because the mean of its divisors is an integer number (16510561056079).

Almost surely, 233021122112157 is an apocalyptic number.

It is an amenable number.

33021122112157 is a deficient number, since it is larger than the sum of its proper divisors (1).

33021122112157 is an equidigital number, since it uses as much as digits as its factorization.

33021122112157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 33021122112157 in words is "thirty-three trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred fifty-seven".