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10223313133 = 117918164997
BaseRepresentation
bin10011000010101101…
…10110000011101101
3222101110222010011011
421201112312003231
5131414132010013
64410241025221
7511225504435
oct114126660355
928343863134
1010223313133
114376880520
121b93925211
13c6c047c17
146cda932c5
153ec7bec3d
hex2615b60ed

10223313133 has 16 divisors (see below), whose sum is σ = 11356450560. Its totient is φ = 9125438400.

The previous prime is 10223313049. The next prime is 10223313151. The reversal of 10223313133 is 33131332201.

10223313133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10223313133 - 217 = 10223182061 is a prime.

It is a super-2 number, since 2×102233131332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223313193) 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 15 ways as a sum of consecutive naturals, for example, 124791 + ... + 189787.

It is an arithmetic number, because the mean of its divisors is an integer number (709778160).

Almost surely, 210223313133 is an apocalyptic number.

It is an amenable number.

10223313133 is a deficient number, since it is larger than the sum of its proper divisors (1133137427).

10223313133 is a wasteful number, since it uses less digits than its factorization.

10223313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65268.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10223313133 its reverse (33131332201), we get a palindrome (43354645334).

The spelling of 10223313133 in words is "ten billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 11 79 181 869 1991 14299 64997 157289 714967 5134763 11764457 56482393 129409027 929392103 10223313133