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100210021 = 978091277
BaseRepresentation
bin1011111100100…
…01010101100101
320222120012022021
411332101111211
5201123210041
613535503141
72324525332
oct576212545
9228505267
10100210021
11516252aa
1229687ab1
13179b8292
14d447989
158be6cd1
hex5f91565

100210021 has 8 divisors (see below), whose sum is σ = 101447640. Its totient is φ = 98976768.

The previous prime is 100210001. The next prime is 100210043. The reversal of 100210021 is 120012001.

It can be written as a sum of positive squares in 4 ways, for example, as 37957921 + 62252100 = 6161^2 + 7890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210021 - 211 = 100207973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100209986 and 100210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77835 + ... + 79111.

It is an arithmetic number, because the mean of its divisors is an integer number (12680955).

Almost surely, 2100210021 is an apocalyptic number.

It is an amenable number.

100210021 is a deficient number, since it is larger than the sum of its proper divisors (1237619).

100210021 is an equidigital number, since it uses as much as digits as its factorization.

100210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100210021 is about 10010.4955421797. The cubic root of 100210021 is about 464.4835998525.

Adding to 100210021 its reverse (120012001), we get a palindrome (220222022).

The spelling of 100210021 in words is "one hundred million, two hundred ten thousand, twenty-one".

Divisors: 1 97 809 1277 78473 123869 1033093 100210021