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33825381131 is a prime number
BaseRepresentation
bin11111100000001001…
…100101101100001011
310020022100102101202202
4133200021211230023
51023233244144011
623312243150415
72305136665343
oct374011455413
9106270371682
1033825381131
1113388600543
12668007540b
133260a78029
1418cc505d23
15d2e8aa23b
hex7e0265b0b

33825381131 has 2 divisors, whose sum is σ = 33825381132. Its totient is φ = 33825381130.

The previous prime is 33825381119. The next prime is 33825381143. The reversal of 33825381131 is 13118352833.

It is a balanced prime because it is at equal distance from previous prime (33825381119) and next prime (33825381143).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33825381131 is a prime.

It is a super-2 number, since 2×338253811312 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33825381101) 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, 16912690565 + 16912690566.

It is an arithmetic number, because the mean of its divisors is an integer number (16912690566).

Almost surely, 233825381131 is an apocalyptic number.

33825381131 is a deficient number, since it is larger than the sum of its proper divisors (1).

33825381131 is an equidigital number, since it uses as much as digits as its factorization.

33825381131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 38.

The spelling of 33825381131 in words is "thirty-three billion, eight hundred twenty-five million, three hundred eighty-one thousand, one hundred thirty-one".