Search a number
-
+
204431220302122 = 211194119171986861
BaseRepresentation
bin101110011110110111011010…
…010001000110000100101010
3222210211102201020101210200101
4232132313122101012010222
5203243400114344131442
62002442223415100014
761026445133363632
oct5636673221060452
9883742636353611
10204431220302122
115a1578803933a0
121ab1818207160a
138a0ba2083cca8
14386a7496676c2
151897ad2767cb7
hexb9edda44612a

204431220302122 has 128 divisors (see below), whose sum is σ = 363115959091200. Its totient is φ = 85315976640000.

The previous prime is 204431220302093. The next prime is 204431220302137. The reversal of 204431220302122 is 221203022134402.

204431220302122 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2044312203021223 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2353500972 + ... + 2353587832.

It is an arithmetic number, because the mean of its divisors is an integer number (2836843430400).

Almost surely, 2204431220302122 is an apocalyptic number.

204431220302122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

204431220302122 is a deficient number, since it is larger than the sum of its proper divisors (158684738789078).

204431220302122 is a wasteful number, since it uses less digits than its factorization.

204431220302122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87844.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204431220302122 its reverse (221203022134402), we get a palindrome (425634242436524).

The spelling of 204431220302122 in words is "two hundred four trillion, four hundred thirty-one billion, two hundred twenty million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 41 82 191 209 382 418 451 719 779 902 1438 1558 2101 3629 4202 7258 7831 7909 8569 13661 15662 15818 17138 27322 29479 39919 58958 79838 86141 86861 137329 148789 150271 172282 173722 274658 297578 300542 324269 560101 648538 955471 1120202 1510619 1636679 1650359 1910942 2609251 3021238 3273358 3300718 3561301 5218502 5630489 6161111 7122602 11260978 12322222 16590451 18153949 28701761 33180902 36307898 39174311 57403522 61935379 62453059 67664719 78348622 106979291 123870758 124906118 135329438 182494961 213958582 315218569 364989922 630437138 680208491 686983649 744311909 1176772201 1186608121 1360416982 1373967298 1488623818 2353544402 2373216242 2560575419 3467404259 5121150838 6934808518 7482293401 11928534269 12923961329 13052689331 14964586802 23857068538 25847922658 26105378662 28166329609 48650932961 56332659218 97301865922 131213876959 142163574619 226642151111 262427753918 284327149238 453284302222 489069905029 535160262571 978139810058 1070320525142 2493063662221 4986127324442 5379768955319 9292328195551 10759537910638 18584656391102 102215610151061 204431220302122