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402112122133 is a prime number
BaseRepresentation
bin1011101100111111100…
…00000000110100010101
31102102220212220021212111
411312133300000310111
523042011200402013
6504421110151021
741023466433331
oct5663760006425
91372825807774
10402112122133
1114559789aa87
1265b22652471
132bbc40b1957
14156688c67c1
15a6d705773d
hex5d9fc00d15

402112122133 has 2 divisors, whose sum is σ = 402112122134. Its totient is φ = 402112122132.

The previous prime is 402112122121. The next prime is 402112122161. The reversal of 402112122133 is 331221211204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399628794244 + 2483327889 = 632162^2 + 49833^2 .

It is a cyclic number.

It is not a de Polignac number, because 402112122133 - 229 = 401575251221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402113122133) 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, 201056061066 + 201056061067.

It is an arithmetic number, because the mean of its divisors is an integer number (201056061067).

Almost surely, 2402112122133 is an apocalyptic number.

It is an amenable number.

402112122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

402112122133 is an equidigital number, since it uses as much as digits as its factorization.

402112122133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 402112122133 its reverse (331221211204), we get a palindrome (733333333337).

The spelling of 402112122133 in words is "four hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".