Search a number
-
+
421001200433121 = 37211260359431313
BaseRepresentation
bin101111110111001011111101…
…1000000000111011111100001
32001012122022200111222100221120
41133232113323000013133201
5420140140424302324441
64051221140445042453
7154451222133144300
oct13756277300073741
92035568614870846
10421001200433121
11112164674190810
123b274a2a256429
13150bb320713979
1475d67d1512437
1533a1319cee966
hex17ee5fb0077e1

421001200433121 has 24 divisors (see below), whose sum is σ = 712343404075104. Its totient is φ = 218701922302080.

The previous prime is 421001200433111. The next prime is 421001200433131. The reversal of 421001200433121 is 121334002100124.

It is an interprime number because it is at equal distance from previous prime (421001200433111) and next prime (421001200433131).

It is not a de Polignac number, because 421001200433121 - 26 = 421001200433057 is a prime.

It is a super-2 number, since 2×4210012004331212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421001200433091 and 421001200433100.

It is not an unprimeable number, because it can be changed into a prime (421001200433111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130179714040 + ... + 130179717273.

It is an arithmetic number, because the mean of its divisors is an integer number (29680975169796).

Almost surely, 2421001200433121 is an apocalyptic number.

It is an amenable number.

421001200433121 is a deficient number, since it is larger than the sum of its proper divisors (291342203641983).

421001200433121 is a wasteful number, since it uses less digits than its factorization.

421001200433121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260359431341 (or 260359431334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 421001200433121 its reverse (121334002100124), we get a palindrome (542335202533245).

The spelling of 421001200433121 in words is "four hundred twenty-one trillion, one billion, two hundred million, four hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 260359431313 781078293939 1822516019191 2863953744443 5467548057573 8591861233329 12757612134337 20047676211101 38272836403011 60143028633303 140333733477707 421001200433121