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20431334342341 = 1319438323176787
BaseRepresentation
bin1001010010101000010100…
…11011001111111011000101
32200100012211211010101121101
410221110022123033323011
510134221333042423331
6111242005254020101
74206054340314436
oct451241233177305
980305754111541
1020431334342341
11656797565762a
12235b890647631
13b52888587740
14508c4bb6948d
152566ec5ce061
hex12950a6cfec5

20431334342341 has 32 divisors (see below), whose sum is σ = 23985194365440. Its totient is φ = 17241303812544.

The previous prime is 20431334342339. The next prime is 20431334342351. The reversal of 20431334342341 is 14324343313402.

It is a cyclic number.

It is not a de Polignac number, because 20431334342341 - 21 = 20431334342339 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20431334342341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20431334342351) 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 31 ways as a sum of consecutive naturals, for example, 10706851 + ... + 12469936.

It is an arithmetic number, because the mean of its divisors is an integer number (749537323920).

Almost surely, 220431334342341 is an apocalyptic number.

It is an amenable number.

20431334342341 is a deficient number, since it is larger than the sum of its proper divisors (3553860023099).

20431334342341 is a wasteful number, since it uses less digits than its factorization.

20431334342341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23176945.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 20431334342341 its reverse (14324343313402), we get a palindrome (34755677655743).

The spelling of 20431334342341 in words is "twenty trillion, four hundred thirty-one billion, three hundred thirty-four million, three hundred forty-two thousand, three hundred forty-one".

Divisors: 1 13 19 43 83 247 559 817 1079 1577 3569 10621 20501 46397 67811 881543 23176787 301298231 440358953 996601841 1923673321 5724666389 12955823933 18935434979 25007753173 36549793099 82717952803 246160654727 475147310287 1075333386439 1571641103257 20431334342341