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204312043312041 = 37291014420175149
BaseRepresentation
bin101110011101001000011010…
…110000111101001110101001
3222210102001002120212102112210
4232131020122300331032221
5203234422031041441131
62002311353522355333
761015025616601230
oct5635103260751651
9883361076772483
10204312043312041
115a111284055865
121aab9061abbb49
138a0070a003c52
143864a81759b17
151894959b82146
hexb9d21ac3d3a9

204312043312041 has 64 divisors (see below), whose sum is σ = 325268726976000. Its totient is φ = 111603797760000.

The previous prime is 204312043312033. The next prime is 204312043312043. The reversal of 204312043312041 is 140213340213402.

It is not a de Polignac number, because 204312043312041 - 23 = 204312043312033 is a prime.

It is a super-2 number, since 2×2043120433120412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204312043312043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2718721735 + ... + 2718796883.

It is an arithmetic number, because the mean of its divisors is an integer number (5082323859000).

Almost surely, 2204312043312041 is an apocalyptic number.

204312043312041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204312043312041 is a deficient number, since it is larger than the sum of its proper divisors (120956683663959).

204312043312041 is a wasteful number, since it uses less digits than its factorization.

204312043312041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119490.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 204312043312041 its reverse (140213340213402), we get a palindrome (344525383525443).

The spelling of 204312043312041 in words is "two hundred four trillion, three hundred twelve billion, forty-three million, three hundred twelve thousand, forty-one".

Divisors: 1 3 7 21 29 87 101 203 303 609 707 2121 2929 8787 20503 44201 61509 75149 132603 225447 309407 526043 928221 1281829 1578129 2179321 3845487 4464301 6537963 7590049 8972803 13392903 15255247 22770147 26918409 31250107 45765741 53130343 93750321 129464729 159391029 220111421 388394187 660334263 906253103 1540779947 2718759309 3321660949 4622339841 9964982847 23251626643 69754879929 96328167521 288984502563 335487755849 674297172647 1006463267547 2022891517941 2348414290943 7045242872829 9729144919621 29187434758863 68104014437347 204312043312041