Search a number
-
+
100323312201 = 3277572103611
BaseRepresentation
bin101110101101110111…
…1000100001001001001
3100120221201000022012200
41131123233010021021
53120430231442301
6114030552430413
710151051040450
oct1353357041111
9316851008180
10100323312201
1139601992372
121753a0a8409
1395ca7b0438
144bd9d81b97
152922800c86
hex175bbc4249

100323312201 has 24 divisors (see below), whose sum is σ = 165831941184. Its totient is φ = 57251849760.

The previous prime is 100323312191. The next prime is 100323312233. The reversal of 100323312201 is 102213323001.

100323312201 is a `hidden beast` number, since 10 + 0 + 323 + 312 + 20 + 1 = 666.

It is not a de Polignac number, because 100323312201 - 217 = 100323181129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100323312101) 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 23 ways as a sum of consecutive naturals, for example, 1004115 + ... + 1099496.

It is an arithmetic number, because the mean of its divisors is an integer number (6909664216).

Almost surely, 2100323312201 is an apocalyptic number.

It is an amenable number.

100323312201 is a deficient number, since it is larger than the sum of its proper divisors (65508628983).

100323312201 is a wasteful number, since it uses less digits than its factorization.

100323312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104381 (or 2104378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100323312201 its reverse (102213323001), we get a palindrome (202536635202).

It can be divided in two parts, 10032 and 3312201, that added together give a palindrome (3322233).

The spelling of 100323312201 in words is "one hundred billion, three hundred twenty-three million, three hundred twelve thousand, two hundred one".

Divisors: 1 3 7 9 21 63 757 2271 5299 6813 15897 47691 2103611 6310833 14725277 18932499 44175831 132527493 1592433527 4777300581 11147034689 14331901743 33441104067 100323312201