Search a number
-
+
10200223113030 = 2325122392670329
BaseRepresentation
bin1001010001101110110010…
…1011001101111101000110
31100010010120002100020212100
42110123230223031331012
52314110024104104110
633405530125132530
72101641015621516
oct224335453157506
940103502306770
1010200223113030
113282988034355
121188a560ba146
1358cb52765032
1427399cacb846
1512a4e7c89bc0
hex946ecacdf46

10200223113030 has 48 divisors (see below), whose sum is σ = 26542265237280. Its totient is φ = 2717835379584.

The previous prime is 10200223113023. The next prime is 10200223113053. The reversal of 10200223113030 is 3031132200201.

10200223113030 is a `hidden beast` number, since 10 + 20 + 0 + 22 + 311 + 303 + 0 = 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 = 10200223112994 and 10200223113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46225095 + ... + 46445234.

It is an arithmetic number, because the mean of its divisors is an integer number (552963859110).

Almost surely, 210200223113030 is an apocalyptic number.

10200223113030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200223113030 is an abundant number, since it is smaller than the sum of its proper divisors (16342042124250).

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

10200223113030 is a wasteful number, since it uses less digits than its factorization.

10200223113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92671565 (or 92671562 counting only the distinct ones).

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

Adding to 10200223113030 its reverse (3031132200201), we get a palindrome (13231355313231).

The spelling of 10200223113030 in words is "ten trillion, two hundred billion, two hundred twenty-three million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1223 2446 3669 6115 7338 11007 12230 18345 22014 36690 55035 110070 92670329 185340658 278010987 463351645 556021974 834032961 926703290 1390054935 1668065922 2780109870 4170164805 8340329610 113335812367 226671624734 340007437101 566679061835 680014874202 1020022311303 1133358123670 1700037185505 2040044622606 3400074371010 5100111556515 10200223113030