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130331311311 = 34110316363113
BaseRepresentation
bin111100101100001011…
…0011111110011001111
3110110102000100121022010
41321120112133303033
54113404303430221
6135512352152303
712262505603355
oct1713026376317
9413360317263
10130331311311
115030069a233
1221313838693
13c3a0716426
1464454ad7d5
1535cbea9c76
hex1e5859fccf

130331311311 has 32 divisors (see below), whose sum is σ = 180847360512. Its totient is φ = 83429015040.

The previous prime is 130331311259. The next prime is 130331311361. The reversal of 130331311311 is 113113133031.

It is not a de Polignac number, because 130331311311 - 26 = 130331311247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331311361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033491 + ... + 2096603.

It is an arithmetic number, because the mean of its divisors is an integer number (5651480016).

Almost surely, 2130331311311 is an apocalyptic number.

130331311311 is a deficient number, since it is larger than the sum of its proper divisors (50516049201).

130331311311 is a wasteful number, since it uses less digits than its factorization.

130331311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63423.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 130331311311 its reverse (113113133031), we get a palindrome (243444444342).

The spelling of 130331311311 in words is "one hundred thirty billion, three hundred thirty-one million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 41 103 123 163 309 489 4223 6683 12669 16789 20049 50367 63113 189339 688349 2065047 2587633 6500639 7762899 10287419 19501917 30862257 266526199 421784179 799578597 1059604157 1265352537 3178812471 43443770437 130331311311