Search a number
-
+
102001221 = 337737393
BaseRepresentation
bin1100001010001…
…10101001000101
321002221012101000
412011012221011
5202103014341
614042123513
72345665440
oct605065105
9232835330
10102001221
1152639033
122a1b0599
131819466a
14d792657
158e4c8b6
hex6146a45

102001221 has 32 divisors (see below), whose sum is σ = 175089920. Its totient is φ = 57480192.

The previous prime is 102001217. The next prime is 102001247. The reversal of 102001221 is 122100201.

It is not a de Polignac number, because 102001221 - 22 = 102001217 is a prime.

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

It is a Duffinian number.

102001221 is a modest number, since divided by 1221 gives 102 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10101 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (5471560).

Almost surely, 2102001221 is an apocalyptic number.

It is an amenable number.

102001221 is a deficient number, since it is larger than the sum of its proper divisors (73088699).

102001221 is an equidigital number, since it uses as much as digits as its factorization.

102001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102001221 is about 10099.5653866887. The cubic root of 102001221 is about 467.2347371789.

Adding to 102001221 its reverse (122100201), we get a palindrome (224101422).

The spelling of 102001221 in words is "one hundred two million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 73 189 219 511 657 1533 1971 4599 7393 13797 22179 51751 66537 155253 199611 465759 539689 1397277 1619067 3777823 4857201 11333469 14571603 34000407 102001221