Search a number
-
+
100020133321 = 472128087943
BaseRepresentation
bin101110100100110101…
…0100001110111001001
3100120011120112012222021
41131021222201313021
53114320123231241
6113540522324441
710140410051143
oct1351152416711
9316146465867
10100020133321
1139466837609
1217474659721
13957ca3b754
144bab9c1c93
152905db50d1
hex1749aa1dc9

100020133321 has 4 divisors (see below), whose sum is σ = 102148221312. Its totient is φ = 97892045332.

The previous prime is 100020133313. The next prime is 100020133357. The reversal of 100020133321 is 123331020001.

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, and also an emirpimes, since its reverse is a distinct semiprime: 123331020001 = 717618717143.

It is a cyclic number.

It is not a de Polignac number, because 100020133321 - 23 = 100020133313 is a prime.

It is a super-2 number, since 2×1000201333212 (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 = 100020133295 and 100020133304.

It is not an unprimeable number, because it can be changed into a prime (100020133391) 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 3 ways as a sum of consecutive naturals, for example, 1064043925 + ... + 1064044018.

It is an arithmetic number, because the mean of its divisors is an integer number (25537055328).

Almost surely, 2100020133321 is an apocalyptic number.

It is an amenable number.

100020133321 is a deficient number, since it is larger than the sum of its proper divisors (2128087991).

100020133321 is an equidigital number, since it uses as much as digits as its factorization.

100020133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128087990.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100020133321 its reverse (123331020001), we get a palindrome (223351153322).

The spelling of 100020133321 in words is "one hundred billion, twenty million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 47 2128087943 100020133321