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10321010042 = 27229672809
BaseRepresentation
bin10011001110010111…
…00001110101111010
3222122021210122010012
421213023201311322
5132114134310132
64424051021522
7513523065200
oct114713416572
928567718105
1010321010042
114416a39672
12200059a8a2
13c86363345
146dca45070
1540616c0b2
hex2672e1d7a

10321010042 has 72 divisors (see below), whose sum is σ = 18935702100. Its totient is φ = 4201819776.

The previous prime is 10321010039. The next prime is 10321010047. The reversal of 10321010042 is 24001012301.

It can be written as a sum of positive squares in 2 ways, for example, as 9792883681 + 528126361 = 98959^2 + 22981^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10321009999 and 10321010026.

It is not an unprimeable number, because it can be changed into a prime (10321010047) 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 35 ways as a sum of consecutive naturals, for example, 12757334 + ... + 12758142.

Almost surely, 210321010042 is an apocalyptic number.

10321010042 is a deficient number, since it is larger than the sum of its proper divisors (8614692058).

10321010042 is an equidigital number, since it uses as much as digits as its factorization.

10321010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10321010042 its reverse (24001012301), we get a palindrome (34322022343).

The spelling of 10321010042 in words is "ten billion, three hundred twenty-one million, ten thousand, forty-two".

Divisors: 1 2 7 14 29 49 58 67 98 134 203 406 469 809 938 1421 1618 1943 2842 3283 3886 4489 5663 6566 8978 11326 13601 23461 27202 31423 39641 46922 54203 62846 79282 95207 108406 130181 164227 190414 219961 260362 328454 379421 439922 758842 911267 1149589 1571887 1822534 2299178 2655947 3143774 3631601 5311894 6378869 7263202 11003209 12757738 22006418 25421207 50842414 77022463 105316429 154044926 177948449 210632858 355896898 737215003 1474430006 5160505021 10321010042