Search a number
-
+
102466221 = 31113219967
BaseRepresentation
bin1100001101110…
…00001010101101
321010210211020020
412012320022231
5202212404341
614100112353
72352643224
oct606701255
9233724206
10102466221
1152926430
122a3956b9
13182c8200
14d873cbb
158ee0566
hex61b82ad

102466221 has 48 divisors (see below), whose sum is σ = 170058240. Its totient is φ = 54250560.

The previous prime is 102466187. The next prime is 102466229. The reversal of 102466221 is 122664201.

It is not a de Polignac number, because 102466221 - 221 = 100369069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102466191 and 102466200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102466229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105480 + ... + 106446.

It is an arithmetic number, because the mean of its divisors is an integer number (3542880).

Almost surely, 2102466221 is an apocalyptic number.

102466221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102466221 is a deficient number, since it is larger than the sum of its proper divisors (67592019).

102466221 is a wasteful number, since it uses less digits than its factorization.

102466221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 102466221 is about 10122.5600022919. The cubic root of 102466221 is about 467.9436660588.

The spelling of 102466221 in words is "one hundred two million, four hundred sixty-six thousand, two hundred twenty-one".

Divisors: 1 3 11 13 19 33 39 57 143 169 209 247 429 507 627 741 967 1859 2717 2901 3211 5577 8151 9633 10637 12571 18373 31911 35321 37713 55119 105963 138281 163423 202103 238849 414843 490269 606309 716547 1797653 2627339 3105037 5392959 7882017 9315111 34155407 102466221