Search a number
-
+
122201101 = 11312231607
BaseRepresentation
bin1110100100010…
…10010000001101
322111221110101201
413102022100031
5222240413401
620043105501
73012456301
oct722122015
9274843351
10122201101
1162a85550
1234b12291
131c417a59
141232dd01
15aadcb01
hex748a40d

122201101 has 16 divisors (see below), whose sum is σ = 138313728. Its totient is φ = 106959600.

The previous prime is 122201089. The next prime is 122201111. The reversal of 122201101 is 101102221.

It is not a de Polignac number, because 122201101 - 25 = 122201069 is a prime.

It is a super-2 number, since 2×1222011012 = 29866218171224402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201111) 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 15 ways as a sum of consecutive naturals, for example, 75240 + ... + 76846.

It is an arithmetic number, because the mean of its divisors is an integer number (8644608).

Almost surely, 2122201101 is an apocalyptic number.

122201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122201101 is a deficient number, since it is larger than the sum of its proper divisors (16112627).

122201101 is a wasteful number, since it uses less digits than its factorization.

122201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122201101 is about 11054.4606833622. The cubic root of 122201101 is about 496.2399292836.

Adding to 122201101 its reverse (101102221), we get a palindrome (223303322).

The spelling of 122201101 in words is "one hundred twenty-two million, two hundred one thousand, one hundred one".

Divisors: 1 11 31 223 341 1607 2453 6913 17677 49817 76043 358361 547987 3941971 11109191 122201101