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231034400323340 = 225412392333505301
BaseRepresentation
bin110100100001111111100011…
…010111001011011100001100
31010022000200011121000201202012
4310201333203113023130030
5220240231422440321330
62135211423245320352
766443453546464655
oct6441774327133414
91108020147021665
10231034400323340
1167684158a23389
1221ab40212660b8
139bbb5b18a5c73
14410a1a602252c
151ba9b056a7c95
hexd21fe35cb70c

231034400323340 has 96 divisors (see below), whose sum is σ = 499300144116480. Its totient is φ = 89743867136000.

The previous prime is 231034400323313. The next prime is 231034400323393. The reversal of 231034400323340 is 43323004430132.

It is a junction number, because it is equal to n+sod(n) for n = 231034400323297 and 231034400323306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456968690 + ... + 457473990.

It is an arithmetic number, because the mean of its divisors is an integer number (5201043167880).

Almost surely, 2231034400323340 is an apocalyptic number.

231034400323340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231034400323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249650072058240).

231034400323340 is an abundant number, since it is smaller than the sum of its proper divisors (268265743793140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231034400323340 is a wasteful number, since it uses less digits than its factorization.

231034400323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507923 (or 507921 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 231034400323340 its reverse (43323004430132), we get a palindrome (274357404753472).

The spelling of 231034400323340 in words is "two hundred thirty-one trillion, thirty-four billion, four hundred million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 239 410 478 820 956 1195 2333 2390 4666 4780 9332 9799 11665 19598 23330 39196 46660 48995 95653 97990 191306 195980 382612 478265 505301 557587 956530 1010602 1115174 1913060 2021204 2230348 2526505 2787935 5053010 5575870 10106020 11151740 20717341 22861067 41434682 45722134 82869364 91444268 103586705 114305335 120766939 207173410 228610670 241533878 414346820 457221340 483067756 603834695 1178867233 1207669390 2357734466 2415338780 4715468932 4951444499 5894336165 9902888998 11788672330 19805777996 23577344660 24757222495 48333556553 49514444990 96667113106 99028889980 193334226212 241667782765 281749268687 483335565530 563498537374 966671131060 1126997074748 1408746343435 2817492686870 5634985373740 11551720016167 23103440032334 46206880064668 57758600080835 115517200161670 231034400323340