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430002021319 = 13477921434157
BaseRepresentation
bin1100100000111100001…
…11100010001111000111
31112002220120122222002121
412100132013202033013
524021121004140234
6525312403350411
743031564605633
oct6203607421707
91462816588077
10430002021319
111563a9a27042
126b406982407
133171a260490
1416b529b5dc3
15b2ba7c14b4
hex641e1e23c7

430002021319 has 32 divisors (see below), whose sum is σ = 479257067520. Its totient is φ = 383291056512.

The previous prime is 430002021307. The next prime is 430002021359. The reversal of 430002021319 is 913120200034.

It is not a de Polignac number, because 430002021319 - 29 = 430002020807 is a prime.

It is a super-2 number, since 2×4300020213192 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430002021293 and 430002021302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430002021359) 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 31 ways as a sum of consecutive naturals, for example, 103438389 + ... + 103442545.

It is an arithmetic number, because the mean of its divisors is an integer number (14976783360).

Almost surely, 2430002021319 is an apocalyptic number.

430002021319 is a deficient number, since it is larger than the sum of its proper divisors (49255046201).

430002021319 is a wasteful number, since it uses less digits than its factorization.

430002021319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 430002021319 in words is "four hundred thirty billion, two million, twenty-one thousand, three hundred nineteen".

Divisors: 1 13 47 79 611 1027 2143 3713 4157 27859 48269 54041 100721 169297 195379 328403 1309373 2200861 2539927 4269239 7956959 8908451 15434941 103440467 115809863 200654233 418697197 703767629 5443063561 9148979177 33077078563 430002021319