Search a number
-
+
101000210021 = 313258071291
BaseRepresentation
bin101111000010000010…
…1001110011001100101
3100122200212201021110022
41132010011032121211
53123322023210041
6114222053004525
710203610422464
oct1360405163145
9318625637408
10101000210021
1139919a92757
12176a8923745
1396a7ac13a9
144c61c249db
152961e5d24b
hex178414e665

101000210021 has 4 divisors (see below), whose sum is σ = 104258281344. Its totient is φ = 97742138700.

The previous prime is 101000210011. The next prime is 101000210023. The reversal of 101000210021 is 120012000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101000210021 is a prime.

It is a super-2 number, since 2×1010002100212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000209990 and 101000210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000210023) 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 3 ways as a sum of consecutive naturals, for example, 1629035615 + ... + 1629035676.

It is an arithmetic number, because the mean of its divisors is an integer number (26064570336).

Almost surely, 2101000210021 is an apocalyptic number.

It is an amenable number.

101000210021 is a deficient number, since it is larger than the sum of its proper divisors (3258071323).

101000210021 is an equidigital number, since it uses as much as digits as its factorization.

101000210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258071322.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000210021 its reverse (120012000101), we get a palindrome (221012210122).

The spelling of 101000210021 in words is "one hundred one billion, two hundred ten thousand, twenty-one".

Divisors: 1 31 3258071291 101000210021