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2301231331113 = 3112131770940459
BaseRepresentation
bin100001011111001100000…
…100110111011100101001
322010222212202201222110020
4201133030010313130221
5300200410210043423
64521100541511053
7325154441400141
oct41371404673451
98128782658406
102301231331113
11807a46103400
12311bb1872489
1313900b507270
147d547359921
153ecd88154e3
hex217cc137729

2301231331113 has 96 divisors (see below), whose sum is σ = 3851202902400. Its totient is φ = 1209933711360.

The previous prime is 2301231331073. The next prime is 2301231331117. The reversal of 2301231331113 is 3111331321032.

2301231331113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2301231331113 - 216 = 2301231265577 is a prime.

It is a super-2 number, since 2×23012313311132 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2301231331117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56857878 + ... + 56898336.

It is an arithmetic number, because the mean of its divisors is an integer number (40116696900).

Almost surely, 22301231331113 is an apocalyptic number.

It is an amenable number.

2301231331113 is a deficient number, since it is larger than the sum of its proper divisors (1549971571287).

2301231331113 is a wasteful number, since it uses less digits than its factorization.

2301231331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223 (or 41212 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 2301231331113 its reverse (3111331321032), we get a palindrome (5412562652145).

The spelling of 2301231331113 in words is "two trillion, three hundred one billion, two hundred thirty-one million, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 11 13 17 33 39 51 121 143 187 221 363 429 561 663 709 1573 2057 2127 2431 4719 6171 7293 7799 9217 12053 23397 26741 27651 36159 40459 80223 85789 101387 121377 132583 156689 257367 304161 397749 445049 470067 525967 687803 1115257 1335147 1458413 1577901 1723579 2063409 3345771 4375239 4895539 5170737 5785637 7565833 8941439 14686617 17356911 18959369 22697499 26824317 28685431 56878107 63642007 83224163 86056293 98355829 190926021 249672489 295067487 315539741 372910603 487652327 946619223 1081914119 1118731809 1462956981 3245742357 3470937151 4102016633 5364175597 6339480251 10412811453 12306049899 16092526791 19018440753 45122182963 59005931567 69734282761 135366548889 177017794701 209202848283 767077110371 2301231331113