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10321041042 = 23213137321949
BaseRepresentation
bin10011001110010111…
…01001011010010010
3222122021212012122100
421213023221122102
5132114141303132
64424051421230
7513523254444
oct114713513222
928567765570
1010321041042
114416a5a994
1220005b4816
13c863744a0
146dca52494
1540617637c
hex2672e9692

10321041042 has 48 divisors (see below), whose sum is σ = 24258288600. Its totient is φ = 3152514816.

The previous prime is 10321041001. The next prime is 10321041067. The reversal of 10321041042 is 24014012301.

10321041042 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 410 + 42 = 666.

10321041042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9034312401 + 1286728641 = 95049^2 + 35871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128917 + ... + 193032.

Almost surely, 210321041042 is an apocalyptic number.

10321041042 is an abundant number, since it is smaller than the sum of its proper divisors (13937247558).

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

10321041042 is a wasteful number, since it uses less digits than its factorization.

10321041042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322107 (or 322104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10321041042 its reverse (24014012301), we get a palindrome (34335053343).

The spelling of 10321041042 in words is "ten billion, three hundred twenty-one million, forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1233 1781 2466 3562 5343 10686 16029 32058 321949 643898 965847 1931694 2897541 4185337 5795082 8370674 12556011 25112022 37668033 44107013 75336066 88214026 132321039 264642078 396963117 573391169 793926234 1146782338 1720173507 3440347014 5160520521 10321041042