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10212574133 is a prime number
BaseRepresentation
bin10011000001011011…
…11000001110110101
3222100201202112000102
421200231320032311
5131403404333013
64405214523445
7511035306416
oct114055701665
928321675012
1010212574133
114370806113
121b90206585
13c69a57b98
146cc49980d
153eb89cd58
hex260b783b5

10212574133 has 2 divisors, whose sum is σ = 10212574134. Its totient is φ = 10212574132.

The previous prime is 10212574123. The next prime is 10212574147. The reversal of 10212574133 is 33147521201.

10212574133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10181415409 + 31158724 = 100903^2 + 5582^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212574133 - 26 = 10212574069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212574096 and 10212574105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212574123) 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 as a sum of consecutive naturals, namely, 5106287066 + 5106287067.

It is an arithmetic number, because the mean of its divisors is an integer number (5106287067).

Almost surely, 210212574133 is an apocalyptic number.

It is an amenable number.

10212574133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212574133 is an equidigital number, since it uses as much as digits as its factorization.

10212574133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 10212574133 in words is "ten billion, two hundred twelve million, five hundred seventy-four thousand, one hundred thirty-three".