Search a number
-
+
100122021 = 333708223
BaseRepresentation
bin1011111011110…
…11110110100101
320222101201121000
411331323312211
5201112401041
613533543513
72324010636
oct575736645
9228351530
10100122021
115157517a
1229644b99
13179871cc
14d42388d
158bcabb6
hex5f7bda5

100122021 has 8 divisors (see below), whose sum is σ = 148328960. Its totient is φ = 66747996.

The previous prime is 100121981. The next prime is 100122023. The reversal of 100122021 is 120221001.

It is not a de Polignac number, because 100122021 - 27 = 100121893 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121994 and 100122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854085 + ... + 1854138.

It is an arithmetic number, because the mean of its divisors is an integer number (18541120).

Almost surely, 2100122021 is an apocalyptic number.

It is an amenable number.

100122021 is a deficient number, since it is larger than the sum of its proper divisors (48206939).

100122021 is an equidigital number, since it uses as much as digits as its factorization.

100122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708232 (or 3708226 counting only the distinct ones).

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

The square root of 100122021 is about 10006.0991899941. The cubic root of 100122021 is about 464.3475970623.

Adding to 100122021 its reverse (120221001), we get a palindrome (220343022).

The spelling of 100122021 in words is "one hundred million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 27 3708223 11124669 33374007 100122021