Search a number
-
+
213103020100 = 225223531748179
BaseRepresentation
bin1100011001110111101…
…1100000100001000100
3202101001111221001222011
43012131323200201010
511442413333120400
6241522001144004
721252614532535
oct3063573404104
9671044831864
10213103020100
1182416110133
123537392b004
1317131b511c9
14a4583c668c
1558239758ba
hex319dee0844

213103020100 has 72 divisors (see below), whose sum is σ = 491644157760. Its totient is φ = 79996625280.

The previous prime is 213103020061. The next prime is 213103020103. The reversal of 213103020100 is 1020301312.

It is not an unprimeable number, because it can be changed into a prime (213103020103) 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 23 ways as a sum of consecutive naturals, for example, 752190 + ... + 995989.

It is an arithmetic number, because the mean of its divisors is an integer number (6828391080).

Almost surely, 2213103020100 is an apocalyptic number.

213103020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103020100 is an abundant number, since it is smaller than the sum of its proper divisors (278541137660).

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

213103020100 is a wasteful number, since it uses less digits than its factorization.

213103020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748269 (or 1748262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 213103020100 its reverse (1020301312), we get a palindrome (214123321412).

The spelling of 213103020100 in words is "two hundred thirteen billion, one hundred three million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2300 2438 2650 4876 5300 6095 12190 24380 30475 60950 121900 1748179 3496358 6992716 8740895 17481790 34963580 40208117 43704475 80416234 87408950 92653487 160832468 174817900 185306974 201040585 370613948 402081170 463267435 804162340 926534870 1005202925 1853069740 2010405850 2131030201 2316337175 4020811700 4262060402 4632674350 8524120804 9265348700 10655151005 21310302010 42620604020 53275755025 106551510050 213103020100