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13414204122 = 23113123112837
BaseRepresentation
bin11000111111000110…
…01000001011011010
31021121212012011200220
430133203020023122
5204433014012442
610055024540510
7653262565554
oct143743101332
937555164626
1013414204122
115763a72110
122724481736
13135a1475b7
1491378a4d4
155379bdeec
hex31f8c82da

13414204122 has 64 divisors (see below), whose sum is σ = 30235189248. Its totient is φ = 3930696000.

The previous prime is 13414204099. The next prime is 13414204157. The reversal of 13414204122 is 22140241431.

13414204122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13414204092 and 13414204101.

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 31 ways as a sum of consecutive naturals, for example, 4726888 + ... + 4729724.

It is an arithmetic number, because the mean of its divisors is an integer number (472424832).

Almost surely, 213414204122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414204122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117594624).

13414204122 is an abundant number, since it is smaller than the sum of its proper divisors (16820985126).

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

13414204122 is a wasteful number, since it uses less digits than its factorization.

13414204122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13414204122 its reverse (22140241431), we get a palindrome (35554445553).

The spelling of 13414204122 in words is "thirteen billion, four hundred fourteen million, two hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 2311 2837 4622 5674 6933 8511 13866 17022 25421 31207 50842 62414 71641 76263 87947 93621 143282 152526 175894 187242 214923 263841 429846 527682 788051 967417 1576102 1934834 2364153 2902251 4728306 5804502 6556307 13112614 19668921 39337842 72119377 144238754 203245517 216358131 406491034 432716262 609736551 1219473102 2235700687 4471401374 6707102061 13414204122