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36133097261 is a prime number
BaseRepresentation
bin100001101001101100…
…110100111100101101
310110021011210112011112
4201221230310330231
51043000033103021
624333241401405
72416261154612
oct415154647455
9113234715145
1036133097261
1114362211858
127004a99265
13353abc2331
141a6abc2509
15e172a2d5b
hex869b34f2d

36133097261 has 2 divisors, whose sum is σ = 36133097262. Its totient is φ = 36133097260.

The previous prime is 36133097257. The next prime is 36133097293. The reversal of 36133097261 is 16279033163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34912922500 + 1220174761 = 186850^2 + 34931^2 .

It is a cyclic number.

It is not a de Polignac number, because 36133097261 - 22 = 36133097257 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36133097461) 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, 18066548630 + 18066548631.

It is an arithmetic number, because the mean of its divisors is an integer number (18066548631).

Almost surely, 236133097261 is an apocalyptic number.

It is an amenable number.

36133097261 is a deficient number, since it is larger than the sum of its proper divisors (1).

36133097261 is an equidigital number, since it uses as much as digits as its factorization.

36133097261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 41.

The spelling of 36133097261 in words is "thirty-six billion, one hundred thirty-three million, ninety-seven thousand, two hundred sixty-one".