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213112121101 = 11531014997253
BaseRepresentation
bin1100011001111001111…
…0001110011100001101
3202101002011001110012021
43012132132032130031
511442423200333401
6241522524210141
721253055066215
oct3063636163415
9671064043167
10213112121101
1182420266920
1235376999951
13171339b9809
14a4596b5245
1558246722a1
hex319e78e70d

213112121101 has 32 divisors (see below), whose sum is σ = 239730192000. Its totient is φ = 187797792000.

The previous prime is 213112121071. The next prime is 213112121153. The reversal of 213112121101 is 101121211312.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 213112121101 - 29 = 213112120589 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 (213112121501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29378991 + ... + 29386243.

It is an arithmetic number, because the mean of its divisors is an integer number (7491568500).

Almost surely, 2213112121101 is an apocalyptic number.

It is an amenable number.

213112121101 is a deficient number, since it is larger than the sum of its proper divisors (26618070899).

213112121101 is a wasteful number, since it uses less digits than its factorization.

213112121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 213112121101 its reverse (101121211312), we get a palindrome (314233332413).

It can be divided in two parts, 21311 and 2121101, that added together give a palindrome (2142412).

The spelling of 213112121101 in words is "two hundred thirteen billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 11 53 101 499 583 1111 5353 5489 7253 26447 50399 58883 79783 290917 384409 554389 732553 2671147 3619247 4228499 8058083 29382617 38825309 39811717 191820091 365543947 427078399 2110021001 4020983417 19373829191 213112121101