Search a number
-
+
100210012221 = 3113036667037
BaseRepresentation
bin101110101010011111…
…0110111000000111101
3100120122210211001212010
41131110332313000331
53120212230342341
6114011424201433
710145204023014
oct1352476670075
9316583731763
10100210012221
1139553a37420
1217508169279
1395b0191027
144bc8ccba7b
1529178c0716
hex1754fb703d

100210012221 has 8 divisors (see below), whose sum is σ = 145760017824. Its totient is φ = 60733340720.

The previous prime is 100210012153. The next prime is 100210012237. The reversal of 100210012221 is 122210012001.

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 100210012221 - 221 = 100207915069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210012197 and 100210012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210011221) 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, 1518333486 + ... + 1518333551.

It is an arithmetic number, because the mean of its divisors is an integer number (18220002228).

Almost surely, 2100210012221 is an apocalyptic number.

100210012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210012221 is a deficient number, since it is larger than the sum of its proper divisors (45550005603).

100210012221 is a wasteful number, since it uses less digits than its factorization.

100210012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036667051.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210012221 its reverse (122210012001), we get a palindrome (222420024222).

The spelling of 100210012221 in words is "one hundred billion, two hundred ten million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 3036667037 9110001111 33403337407 100210012221