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320102152434 = 232113809156257
BaseRepresentation
bin1001010100001111001…
…00110011100011110010
31010121020110200011210100
410222013210303203302
520221032122334214
6403015232013230
732061300254631
oct4520744634362
91117213604710
10320102152434
11113833357a19
1252055691216
132425472196c
14116c8c19518
1584d73a7309
hex4a879338f2

320102152434 has 24 divisors (see below), whose sum is σ = 693565196220. Its totient is φ = 106699097088.

The previous prime is 320102152423. The next prime is 320102152439. The reversal of 320102152434 is 434251201023.

320102152434 is a `hidden beast` number, since 3 + 2 + 0 + 10 + 215 + 2 + 434 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 277376022225 + 42726130209 = 526665^2 + 206703^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320102152398 and 320102152407.

It is not an unprimeable number, because it can be changed into a prime (320102152439) 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 11 ways as a sum of consecutive naturals, for example, 1970434 + ... + 2126690.

Almost surely, 2320102152434 is an apocalyptic number.

320102152434 is an abundant number, since it is smaller than the sum of its proper divisors (373463043786).

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

320102152434 is a wasteful number, since it uses less digits than its factorization.

320102152434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270074 (or 270071 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 320102152434 its reverse (434251201023), we get a palindrome (754353353457).

The spelling of 320102152434 in words is "three hundred twenty billion, one hundred two million, one hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 113809 156257 227618 312514 341427 468771 682854 937542 1024281 1406313 2048562 2812626 17783452913 35566905826 53350358739 106700717478 160051076217 320102152434