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2031110001431 = 722310335474933
BaseRepresentation
bin11101100011100111100…
…101110001001100010111
321012011122112210200001022
4131203213211301030113
5231234203130021211
64153025024151355
7266512541103500
oct35434745611427
97164575720038
102031110001431
11713430710375
1228978676855b
131196c089c544
14704404bbba7
1537c792b5bdb
hex1d8e7971317

2031110001431 has 48 divisors (see below), whose sum is σ = 2490589730304. Its totient is φ = 1648291208256.

The previous prime is 2031110001413. The next prime is 2031110001433. The reversal of 2031110001431 is 1341000111302.

It is not a de Polignac number, because 2031110001431 - 26 = 2031110001367 is a prime.

It is a super-2 number, since 2×20311100014312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031110001433) 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 47 ways as a sum of consecutive naturals, for example, 411736841 + ... + 411741773.

It is an arithmetic number, because the mean of its divisors is an integer number (51887286048).

Almost surely, 22031110001431 is an apocalyptic number.

2031110001431 is a deficient number, since it is larger than the sum of its proper divisors (459479728873).

2031110001431 is a wasteful number, since it uses less digits than its factorization.

2031110001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2031110001431 its reverse (1341000111302), we get a palindrome (3372110112733).

The spelling of 2031110001431 in words is "two trillion, thirty-one billion, one hundred ten million, one thousand, four hundred thirty-one".

Divisors: 1 7 23 49 103 161 721 1127 2369 3547 4933 5047 16583 24829 34531 81581 113459 116081 173803 241717 365341 508099 571067 794213 2557387 3556693 3997469 5559491 8402843 11686277 17497351 17901709 24896851 58819901 81803939 122481457 402439073 411739307 572627573 857370199 1802227153 2817073511 12615590071 19719514577 41451224519 88309130497 290158571633 2031110001431