Search a number
-
+
100022011011 = 32132193461089
BaseRepresentation
bin101110100100111000…
…1101100010010000011
3100120011201001121200100
41131021301230102003
53114321113323021
6113541030453443
710140432031356
oct1351161542203
9316151047610
10100022011011
11394678aa31a
1217475204283
139580248300
144babd5029d
152906136626
hex1749c6c483

100022011011 has 36 divisors (see below), whose sum is σ = 164678662200. Its totient is φ = 58312410624.

The previous prime is 100022011009. The next prime is 100022011013. The reversal of 100022011011 is 110110220001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100022011009) and next prime (100022011013).

It is not a de Polignac number, because 100022011011 - 21 = 100022011009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100022010984 and 100022011002.

It is not an unprimeable number, because it can be changed into a prime (100022011013) 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 35 ways as a sum of consecutive naturals, for example, 1701646 + ... + 1759443.

Almost surely, 2100022011011 is an apocalyptic number.

100022011011 is a deficient number, since it is larger than the sum of its proper divisors (64656651189).

100022011011 is a wasteful number, since it uses less digits than its factorization.

100022011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461140 (or 3461124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100022011011 its reverse (110110220001), we get a palindrome (210132231012).

The spelling of 100022011011 in words is "one hundred billion, twenty-two million, eleven thousand, eleven".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1521 2223 3211 9633 28899 3461089 10383267 31149801 44994157 65760691 134982471 197282073 404947413 584924041 591846219 854888983 1754772123 2564666949 5264316369 7694000847 11113556779 33340670337 100022011011