Search a number
-
+
100022231021 = 2933161104009
BaseRepresentation
bin101110100100111001…
…0100001111111101101
3100120011201110210110212
41131021302201333231
53114321142343041
6113541035312205
710140433635656
oct1351162417755
9316151423425
10100022231021
1139467a3a649
12174752ab665
1395802c44ab
144babdaa52d
15290617b8eb
hex1749ca1fed

100022231021 has 8 divisors (see below), whose sum is σ = 103475388600. Its totient is φ = 96569347840.

The previous prime is 100022230981. The next prime is 100022231059. The reversal of 100022231021 is 120132220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15988338025 + 84033892996 = 126445^2 + 289886^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100022231021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022230987 and 100022231005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022233021) 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, 909665 + ... + 1013673.

It is an arithmetic number, because the mean of its divisors is an integer number (12934423575).

Almost surely, 2100022231021 is an apocalyptic number.

It is an amenable number.

100022231021 is a deficient number, since it is larger than the sum of its proper divisors (3453157579).

100022231021 is a wasteful number, since it uses less digits than its factorization.

100022231021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137199.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100022231021 its reverse (120132220001), we get a palindrome (220154451022).

The spelling of 100022231021 in words is "one hundred billion, twenty-two million, two hundred thirty-one thousand, twenty-one".

Divisors: 1 29 33161 104009 961669 3016261 3449042449 100022231021