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20330404004241 = 3337397102150207
BaseRepresentation
bin1001001111101100010101…
…00000100100000110010001
32122222120022210212222102000
410213312022200210012101
510131043131411113431
6111123354134344213
74165552235513112
oct447661240440621
978876283788360
1020330404004241
116529092058771
1223442031bb069
13b461c20bb7a6
14503dd5332209
15253c918739e6
hex127d8a824191

20330404004241 has 64 divisors (see below), whose sum is σ = 31042055976960. Its totient is φ = 13140926472960.

The previous prime is 20330404004227. The next prime is 20330404004269. The reversal of 20330404004241 is 14240040403302.

It is a happy number.

20330404004241 is a `hidden beast` number, since 203 + 30 + 4 + 0 + 4 + 0 + 0 + 424 + 1 = 666.

It is not a de Polignac number, because 20330404004241 - 214 = 20330403987857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20330404004291) 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, 404906560 + ... + 404956766.

It is an arithmetic number, because the mean of its divisors is an integer number (485032124640).

Almost surely, 220330404004241 is an apocalyptic number.

It is an amenable number.

20330404004241 is a deficient number, since it is larger than the sum of its proper divisors (10711651972719).

20330404004241 is a wasteful number, since it uses less digits than its factorization.

20330404004241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51671 (or 51665 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20330404004241 its reverse (14240040403302), we get a palindrome (34570444407543).

The spelling of 20330404004241 in words is "twenty trillion, three hundred thirty billion, four hundred four million, four thousand, two hundred forty-one".

Divisors: 1 3 9 27 37 111 333 397 999 1021 1191 3063 3573 9189 10719 14689 27567 37777 44067 50207 113331 132201 150621 339993 396603 405337 451863 1019979 1216011 1355589 1857659 3648033 5572977 10944099 14997469 16718931 19932179 44992407 50156793 51261347 59796537 134977221 153784041 179389611 404931663 461352123 538168833 737490623 1384056369 1896669839 2212471869 5690009517 6637415607 17070028551 19912246821 20350754759 51210085653 61052264277 183156792831 549470378493 752977926083 2258933778249 6776801334747 20330404004241