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10223212133 = 109857109441
BaseRepresentation
bin10011000010101100…
…11101011001100101
3222101110202222121102
421201112131121211
5131414120242013
64410234525445
7511224604121
oct114126353145
928343688542
1010223212133
114376811652
121b93896885
13c6c010c64
146cda68581
153ec79ed58
hex26159d665

10223212133 has 8 divisors (see below), whose sum is σ = 10329135960. Its totient is φ = 10117509120.

The previous prime is 10223212093. The next prime is 10223212177. The reversal of 10223212133 is 33121232201.

10223212133 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 6253330084 + 3969882049 = 79078^2 + 63007^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223212133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223212183) 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, 38693 + ... + 148133.

It is an arithmetic number, because the mean of its divisors is an integer number (1291141995).

Almost surely, 210223212133 is an apocalyptic number.

It is an amenable number.

10223212133 is a deficient number, since it is larger than the sum of its proper divisors (105923827).

10223212133 is a wasteful number, since it uses less digits than its factorization.

10223212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110407.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10223212133 its reverse (33121232201), we get a palindrome (43344444334).

The spelling of 10223212133 in words is "ten billion, two hundred twenty-three million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 109 857 93413 109441 11929069 93790937 10223212133