Search a number
-
+
100323003222 = 23313210993097
BaseRepresentation
bin101110101101110110…
…1111000101101010110
3100120221200102121101000
41131123231320231112
53120430142100342
6114030542044130
710151045312601
oct1353355705526
9316850377330
10100323003222
11396017a1212
1217539b79646
1395ca702900
144bd9d01338
15292278e44c
hex175bb78b56

100323003222 has 48 divisors (see below), whose sum is σ = 241408432080. Its totient is φ = 30868613568.

The previous prime is 100323003199. The next prime is 100323003223. The reversal of 100323003222 is 222300323001.

It is a happy number.

100323003222 is a `hidden beast` number, since 10 + 0 + 32 + 300 + 322 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100323003195 and 100323003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323003223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5487423 + ... + 5505674.

It is an arithmetic number, because the mean of its divisors is an integer number (5029342335).

Almost surely, 2100323003222 is an apocalyptic number.

100323003222 is an abundant number, since it is smaller than the sum of its proper divisors (141085428858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100323003222 is a wasteful number, since it uses less digits than its factorization.

100323003222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10993134 (or 10993115 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100323003222 its reverse (222300323001), we get a palindrome (322623326223).

The spelling of 100323003222 in words is "one hundred billion, three hundred twenty-three million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 10993097 21986194 32979291 65958582 98937873 142910261 197875746 285820522 296813619 428730783 593627238 857461566 1286192349 1857833393 2572384698 3715666786 3858577047 5573500179 7717154094 11147000358 16720500537 33441001074 50161501611 100323003222