Search a number
-
+
100022121 = 341234841
BaseRepresentation
bin1011111011000…
…11011101101001
320222012122120000
411331203131221
5201101201441
613531453213
72323113453
oct575433551
9228178500
10100022121
1151507111
12295b7209
13179508b4
14d3d92d3
158bab2b6
hex5f63769

100022121 has 10 divisors (see below), whose sum is σ = 149415882. Its totient is φ = 66681360.

The previous prime is 100022113. The next prime is 100022123. The reversal of 100022121 is 121220001.

It can be written as a sum of positive squares in only one way, i.e., 55666521 + 44355600 = 7461^2 + 6660^2 .

It is not a de Polignac number, because 100022121 - 23 = 100022113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100022123) 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 9 ways as a sum of consecutive naturals, for example, 617340 + ... + 617501.

Almost surely, 2100022121 is an apocalyptic number.

It is an amenable number.

100022121 is a deficient number, since it is larger than the sum of its proper divisors (49393761).

100022121 is an equidigital number, since it uses as much as digits as its factorization.

100022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234853 (or 1234844 counting only the distinct ones).

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

The square root of 100022121 is about 10001.1059888394. The cubic root of 100022121 is about 464.1931063668.

Adding to 100022121 its reverse (121220001), we get a palindrome (221242122).

The spelling of 100022121 in words is "one hundred million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 1234841 3704523 11113569 33340707 100022121