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10234420321 = 31252120441
BaseRepresentation
bin10011000100000010…
…01101110001100001
3222102020212102100111
421202001031301201
5131430002422241
64411315051321
7511422065056
oct114201156141
928366772314
1010234420321
114382077514
121b975a0b41
13c71436718
146d134502d
153ed765c81
hex26204dc61

10234420321 has 12 divisors (see below), whose sum is σ = 10596028932. Its totient is φ = 9884784000.

The previous prime is 10234420307. The next prime is 10234420337. The reversal of 10234420321 is 12302443201.

It can be written as a sum of positive squares in 2 ways, for example, as 5915301921 + 4319118400 = 76911^2 + 65720^2 .

It is not a de Polignac number, because 10234420321 - 211 = 10234418273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10234420292 and 10234420301.

It is not an unprimeable number, because it can be changed into a prime (10234420921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490461 + ... + 510901.

It is an arithmetic number, because the mean of its divisors is an integer number (883002411).

Almost surely, 210234420321 is an apocalyptic number.

It is an amenable number.

10234420321 is a deficient number, since it is larger than the sum of its proper divisors (361608611).

10234420321 is an equidigital number, since it uses as much as digits as its factorization.

10234420321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024 (or 20993 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10234420321 its reverse (12302443201), we get a palindrome (22536863522).

The spelling of 10234420321 in words is "ten billion, two hundred thirty-four million, four hundred twenty thousand, three hundred twenty-one".

Divisors: 1 31 521 961 16151 20441 500681 633671 10649761 19643801 330142591 10234420321