Search a number
-
+
13310001021420 = 22325214351344969
BaseRepresentation
bin1100000110101111100111…
…1000100000000111101100
31202010102102212010002021100
43001223321320200013230
53221032340230141140
644150310254203100
72542421142661635
oct301537170400754
952112385102240
1013310001021420
114271815649454
1215ab6984b3490
1375718777137c
143402c94b488c
15181354d56530
hexc1af9e201ec

13310001021420 has 72 divisors (see below), whose sum is σ = 40373975154240. Its totient is φ = 3549306758400.

The previous prime is 13310001021419. The next prime is 13310001021439. The reversal of 13310001021420 is 2412010001331.

13310001021420 is a `hidden beast` number, since 133 + 10 + 0 + 0 + 102 + 1 + 420 = 666.

It is a super-2 number, since 2×133100010214202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13310001021393 and 13310001021402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38410696 + ... + 38755664.

It is an arithmetic number, because the mean of its divisors is an integer number (560749654920).

Almost surely, 213310001021420 is an apocalyptic number.

13310001021420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310001021420 is an abundant number, since it is smaller than the sum of its proper divisors (27063974132820).

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

13310001021420 is a wasteful number, since it uses less digits than its factorization.

13310001021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559335 (or 559330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13310001021420 its reverse (2412010001331), we get a palindrome (15722011022751).

The spelling of 13310001021420 in words is "thirteen trillion, three hundred ten billion, one million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 214351 344969 428702 643053 689938 857404 1034907 1071755 1286106 1379876 1724845 1929159 2069814 2143510 2572212 3104721 3215265 3449690 3858318 4139628 4287020 5174535 6209442 6430530 6899380 7716636 9645795 10349070 12418884 12861060 15523605 19291590 20698140 31047210 38583180 62094420 73944450119 147888900238 221833350357 295777800476 369722250595 443666700714 665500051071 739444501190 887333401428 1109166751785 1331000102142 1478889002380 2218333503570 2662000204284 3327500255355 4436667007140 6655000510710 13310001021420