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10212032133 = 321134670237
BaseRepresentation
bin10011000001010111…
…10011111010000101
3222100200201222112100
421200223303322011
5131403240012013
64405155142313
7511030561302
oct114053637205
928320658470
1010212032133
114370475986
121b8bba4999
13c698c8284
146cc3980a9
153eb7e2473
hex260af3e85

10212032133 has 6 divisors (see below), whose sum is σ = 14750713094. Its totient is φ = 6808021416.

The previous prime is 10212032119. The next prime is 10212032231. The reversal of 10212032133 is 33123021201.

10212032133 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 only one way, i.e., 8237740644 + 1974291489 = 90762^2 + 44433^2 .

It is not a de Polignac number, because 10212032133 - 25 = 10212032101 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 (10212032333) 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 5 ways as a sum of consecutive naturals, for example, 567335110 + ... + 567335127.

Almost surely, 210212032133 is an apocalyptic number.

It is an amenable number.

10212032133 is a deficient number, since it is larger than the sum of its proper divisors (4538680961).

10212032133 is a wasteful number, since it uses less digits than its factorization.

10212032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134670243 (or 1134670240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10212032133 its reverse (33123021201), we get a palindrome (43335053334).

The spelling of 10212032133 in words is "ten billion, two hundred twelve million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 1134670237 3404010711 10212032133