Search a number
-
+
203001131421 = 3311289809863
BaseRepresentation
bin1011110100001111001…
…1110111000110011101
3201101222111102221212000
42331003303313012131
511311221242201141
6233131334432513
720444362101204
oct2750363670635
9641874387760
10203001131421
1179101934700
1233414802739
13161b200b69a
149b7a90023b
155431b8d5b6
hex2f43cf719d

203001131421 has 96 divisors (see below), whose sum is σ = 335083392000. Its totient is φ = 121357463040.

The previous prime is 203001131401. The next prime is 203001131429. The reversal of 203001131421 is 124131100302.

203001131421 is a `hidden beast` number, since 20 + 300 + 11 + 314 + 21 = 666.

It is not a de Polignac number, because 203001131421 - 29 = 203001130909 is a prime.

It is a super-2 number, since 2×2030011314212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203001131394 and 203001131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203001131429) 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 95 ways as a sum of consecutive naturals, for example, 235226836 + ... + 235227698.

It is an arithmetic number, because the mean of its divisors is an integer number (3490452000).

Almost surely, 2203001131421 is an apocalyptic number.

It is an amenable number.

203001131421 is a deficient number, since it is larger than the sum of its proper divisors (132082260579).

203001131421 is a wasteful number, since it uses less digits than its factorization.

203001131421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1775 counting only the distinct ones).

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

Adding to 203001131421 its reverse (124131100302), we get a palindrome (327132231723).

The spelling of 203001131421 in words is "two hundred three billion, one million, one hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 11 27 33 89 99 121 267 297 363 801 809 863 979 1089 2403 2427 2589 2937 3267 7281 7767 8811 8899 9493 10769 21843 23301 26433 26697 28479 32307 72001 76807 80091 85437 96921 97889 104423 216003 230421 240273 256311 290763 293667 313269 648009 691263 698167 792011 844877 881001 939807 1944027 2073789 2094501 2376033 2534631 2643003 2819421 6283503 7128099 7603893 7679837 8712121 9293647 18850509 21384297 22811679 23039511 26136363 27880941 62136863 69118533 78409089 83642823 84478207 186410589 207355599 235227267 250928469 253434621 559231767 683505493 760303863 1677695301 2050516479 2280911589 6151549437 7518560423 18454648311 22555681269 67667043807 203001131421