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13220422411424 = 258319136137213
BaseRepresentation
bin1100000001100001111010…
…0101001110010010100000
31201210212012222011012120012
43000120132211032102200
53213100411114131144
644041213405504052
72533100251235444
oct300303645162240
951725188135505
1013220422411424
114237827882968
121596258872028
1374b8b003c6b7
14339c2c548824
1517dd609b5e9e
hexc061e94e4a0

13220422411424 has 96 divisors (see below), whose sum is σ = 26490206905344. Its totient is φ = 6493680184320.

The previous prime is 13220422411403. The next prime is 13220422411457. The reversal of 13220422411424 is 42411422402231.

It is a super-2 number, since 2×132204224114242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1832856842 + ... + 1832864054.

It is an arithmetic number, because the mean of its divisors is an integer number (275939655264).

Almost surely, 213220422411424 is an apocalyptic number.

It is an amenable number.

13220422411424 is an abundant number, since it is smaller than the sum of its proper divisors (13269784493920).

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

13220422411424 is a wasteful number, since it uses less digits than its factorization.

13220422411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110 (or 11102 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 13220422411424 its reverse (42411422402231), we get a palindrome (55631844813655).

The spelling of 13220422411424 in words is "thirteen trillion, two hundred twenty billion, four hundred twenty-two million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 83 166 191 332 382 664 764 1328 1528 2656 3056 3613 6112 7213 7226 14426 14452 15853 28852 28904 31706 57704 57808 63412 115408 115616 126824 230816 253648 299879 507296 598679 599758 690083 1197358 1199516 1377683 1380166 2394716 2399032 2755366 2760332 4789432 4798064 5510732 5520664 9578864 9596128 11021464 11041328 19157728 22042928 22082656 26060569 44085856 52121138 57276889 104242276 114347689 114553778 208484552 228695378 229107556 416969104 457390756 458215112 833938208 914781512 916430224 1829563024 1832860448 2163027227 3659126048 4326054454 4977568679 8652108908 9955137358 17304217816 19910274716 34608435632 39820549432 69216871264 79641098864 159282197728 413138200357 826276400714 1652552801428 3305105602856 6610211205712 13220422411424