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10211010101 = 17877684889
BaseRepresentation
bin10011000001001111…
…11010011000110101
3222100121211001120022
421200213322120311
5131403004310401
64405121214525
7511016103515
oct114047723065
928317731508
1010211010101
11436a938026
121b8b791445
13c6962b016
146cc1ad845
153eb68e71b
hex2609fa635

10211010101 has 8 divisors (see below), whose sum is σ = 10824001560. Its totient is φ = 9599390208.

The previous prime is 10211010097. The next prime is 10211010137. The reversal of 10211010101 is 10101011201.

It is a happy number.

10211010101 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 6142483876 + 4068526225 = 78374^2 + 63785^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10211010101 - 22 = 10211010097 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 (10211010151) 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, 327536 + ... + 357353.

It is an arithmetic number, because the mean of its divisors is an integer number (1353000195).

Almost surely, 210211010101 is an apocalyptic number.

It is an amenable number.

10211010101 is a deficient number, since it is larger than the sum of its proper divisors (612991459).

10211010101 is an equidigital number, since it uses as much as digits as its factorization.

10211010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685783.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10211010101 its reverse (10101011201), we get a palindrome (20312021302).

It can be divided in two parts, 102110 and 10101, that added together give a palindrome (112211).

The spelling of 10211010101 in words is "ten billion, two hundred eleven million, ten thousand, one hundred one".

Divisors: 1 17 877 14909 684889 11643113 600647653 10211010101