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10223433634 = 239777316657
BaseRepresentation
bin10011000010101110…
…10011011110100010
3222101111012020110011
421201113103132202
5131414144334014
64410243355134
7511226515651
oct114127233642
928344166404
1010223433634
114376953007
121b93982aaa
13c6c08aa1b
146cdac5198
153ec7e57c4
hex2615d37a2

10223433634 has 16 divisors (see below), whose sum is σ = 15394590648. Its totient is φ = 5091939072.

The previous prime is 10223433593. The next prime is 10223433637. The reversal of 10223433634 is 43633432201.

10223433634 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 9781803409 + 441630225 = 98903^2 + 21015^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10223433596 and 10223433605.

It is not an unprimeable number, because it can be changed into a prime (10223433637) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 605434 + ... + 622090.

Almost surely, 210223433634 is an apocalyptic number.

10223433634 is a deficient number, since it is larger than the sum of its proper divisors (5171157014).

10223433634 is a wasteful number, since it uses less digits than its factorization.

10223433634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 10223433634 its reverse (43633432201), we get a palindrome (53856865835).

The spelling of 10223433634 in words is "ten billion, two hundred twenty-three million, four hundred thirty-three thousand, six hundred thirty-four".

Divisors: 1 2 397 773 794 1546 16657 33314 306881 613762 6612829 12875861 13225658 25751722 5111716817 10223433634