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100121211 = 3317331659
BaseRepresentation
bin1011111011110…
…11101001111011
320222101200111000
411331323221323
5201112334321
613533540043
72324005401
oct575735173
9228350430
10100121211
1151574603
1229644623
1317986a28
14d423471
158bca826
hex5f7ba7b

100121211 has 32 divisors (see below), whose sum is σ = 157766400. Its totient is φ = 62536320.

The previous prime is 100121201. The next prime is 100121213. The reversal of 100121211 is 112121001.

It is a happy number.

It is not a de Polignac number, because 100121211 - 211 = 100119163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121193 and 100121202.

It is not an unprimeable number, because it can be changed into a prime (100121213) 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, 151600 + ... + 152258.

It is an arithmetic number, because the mean of its divisors is an integer number (4930200).

Almost surely, 2100121211 is an apocalyptic number.

100121211 is a deficient number, since it is larger than the sum of its proper divisors (57645189).

100121211 is a wasteful number, since it uses less digits than its factorization.

100121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100121211 is about 10006.0587145989. The cubic root of 100121211 is about 464.3463448484.

Adding to 100121211 its reverse (112121001), we get a palindrome (212242212).

The spelling of 100121211 in words is "one hundred million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 17 27 51 153 331 459 659 993 1977 2979 5627 5931 8937 11203 16881 17793 33609 50643 100827 151929 218129 302481 654387 1963161 3708193 5889483 11124579 33373737 100121211