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211133133029 = 71371103317263
BaseRepresentation
bin1100010010100010000…
…0111111000011100101
3202011222020020102220202
43010220200333003211
511424400040224104
6240554311440245
721153035006540
oct3045040770345
9664866212822
10211133133029
11815a5170895
1234b04086085
1316ba99bb360
14a30c929857
15575aa6051e
hex312883f0e5

211133133029 has 32 divisors (see below), whose sum is σ = 266075357184. Its totient is φ = 163098048960.

The previous prime is 211133133011. The next prime is 211133133049. The reversal of 211133133029 is 920331331112.

It is a happy number.

It is not a de Polignac number, because 211133133029 - 212 = 211133128933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211133132992 and 211133133010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133133049) 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 in 31 ways as a sum of consecutive naturals, for example, 506852 + ... + 824114.

It is an arithmetic number, because the mean of its divisors is an integer number (8314854912).

Almost surely, 2211133133029 is an apocalyptic number.

It is an amenable number.

211133133029 is a deficient number, since it is larger than the sum of its proper divisors (54942224155).

211133133029 is a wasteful number, since it uses less digits than its factorization.

211133133029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317457.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 211133133029 in words is "two hundred eleven billion, one hundred thirty-three million, one hundred thirty-three thousand, twenty-nine".

Divisors: 1 7 13 71 91 103 497 721 923 1339 6461 7313 9373 51191 95069 317263 665483 2220841 4124419 22525673 28870933 32678089 157679711 228746623 292833749 424815157 2049836243 2320144319 2973706099 16241010233 30161876147 211133133029