20100033 has 6 divisors (see below), whose sum is σ = 29033394. Its totient is φ = 13400016.

The previous prime is 20100023. The next prime is 20100053. The reversal of 20100033 is 33000102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 8485569 = 3408^2 + 2913^2 .

It is not a de Polignac number, because 20100033 - 2¹⁴ = 20083649 is a prime.

It is a super-2 number, since 2×20100033² = 808022653202178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 2233337 = 20100033 / (2 + 0 + 1 + 0 + 0 + 0 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 20099988 and 20100024.

It is not an unprimeable number, because it can be changed into a prime (20100023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1116660 + ... + 1116677.

It is an arithmetic number, because the mean of its divisors is an integer number (4838899).

Almost surely, 2^20100033 is an apocalyptic number.

It is an amenable number.

20100033 is a deficient number, since it is larger than the sum of its proper divisors (8933361).

20100033 is a wasteful number, since it uses less digits than its factorization.

20100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233343 (or 2233340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 20100033 is about 4483.3060346133. The cubic root of 20100033 is about 271.8935614755.

Adding to 20100033 its reverse (33000102), we get a palindrome (53100135).

The spelling of 20100033 in words is "twenty million, one hundred thousand, thirty-three".