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421213304031 = 31319922231223
BaseRepresentation
bin1100010000100100100…
…01001111010011011111
31111021020002010212110220
412020102101033103133
523400121101212111
6521300330532423
742301026003312
oct6102221172337
91437202125426
10421213304031
111526a9a24723
1269773597113
13309494b7b50
141655b67c979
15ae53e2be06
hex621244f4df

421213304031 has 48 divisors (see below), whose sum is σ = 611098822656. Its totient is φ = 256539172032.

The previous prime is 421213303949. The next prime is 421213304041. The reversal of 421213304031 is 130403312124.

It is a happy number.

It is not a de Polignac number, because 421213304031 - 29 = 421213303519 is a prime.

It is a super-2 number, since 2×4212133040312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421213303992 and 421213304010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421213304041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344409286 + ... + 344410508.

It is an arithmetic number, because the mean of its divisors is an integer number (12731225472).

Almost surely, 2421213304031 is an apocalyptic number.

421213304031 is a deficient number, since it is larger than the sum of its proper divisors (189885518625).

421213304031 is a wasteful number, since it uses less digits than its factorization.

421213304031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 421213304031 its reverse (130403312124), we get a palindrome (551616616155).

The spelling of 421213304031 in words is "four hundred twenty-one billion, two hundred thirteen million, three hundred four thousand, thirty-one".

Divisors: 1 3 13 39 199 223 597 669 1223 2587 2899 3669 7761 8697 15899 39601 44377 47697 118803 133131 243377 272729 514813 576901 730131 818187 1544439 1730703 3163901 3545477 8831023 9491703 10636431 26493069 48432023 54273071 114803299 145296069 162819213 344409897 629616299 705549923 1888848897 2116649769 10800341129 32401023387 140404434677 421213304031