Search a number
-
+
102202101 = 335964157
BaseRepresentation
bin1100001011101…
…11101011110101
321010022101221000
412011313223311
5202130431401
614050313513
72350463211
oct605675365
9233271830
10102202101
1152765a51
122a288899
1318234c21
14d805941
158e8c186
hex6177af5

102202101 has 16 divisors (see below), whose sum is σ = 153979200. Its totient is φ = 66978864.

The previous prime is 102202091. The next prime is 102202123. The reversal of 102202101 is 101202201.

It is not a de Polignac number, because 102202101 - 27 = 102201973 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202201) 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 15 ways as a sum of consecutive naturals, for example, 30486 + ... + 33671.

It is an arithmetic number, because the mean of its divisors is an integer number (9623700).

Almost surely, 2102202101 is an apocalyptic number.

It is an amenable number.

102202101 is a deficient number, since it is larger than the sum of its proper divisors (51777099).

102202101 is an equidigital number, since it uses as much as digits as its factorization.

102202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64225 (or 64219 counting only the distinct ones).

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

The square root of 102202101 is about 10109.5054775197. The cubic root of 102202101 is about 467.5412582383.

Adding to 102202101 its reverse (101202201), we get a palindrome (203404302).

It can be divided in two parts, 10220 and 2101, that added together give a palindrome (12321).

The spelling of 102202101 in words is "one hundred two million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 27 59 177 531 1593 64157 192471 577413 1732239 3785263 11355789 34067367 102202101