Search a number
-
+
2200101012 = 22321032292591
BaseRepresentation
bin1000001100100010…
…1110000010010100
312200022212201012200
42003020232002110
514001211213022
61002151444500
7105343356444
oct20310560224
95608781180
102200101012
11a299994aa
12514986730
13290a68625
1416c2a6124
15cd23bbac
hex8322e094

2200101012 has 72 divisors (see below), whose sum is σ = 5642058240. Its totient is φ = 722796480.

The previous prime is 2200101011. The next prime is 2200101023. The reversal of 2200101012 is 2101010022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2200100985 and 2200101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847837 + ... + 850427.

It is an arithmetic number, because the mean of its divisors is an integer number (78361920).

Almost surely, 22200101012 is an apocalyptic number.

It is an amenable number.

2200101012 is an abundant number, since it is smaller than the sum of its proper divisors (3441957228).

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

2200101012 is a wasteful number, since it uses less digits than its factorization.

2200101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2200101012 is about 46905.2343774125. The cubic root of 2200101012 is about 1300.6113519018.

Adding to 2200101012 its reverse (2101010022), we get a palindrome (4301111034).

The spelling of 2200101012 in words is "two billion, two hundred million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 229 309 412 458 618 687 916 927 1236 1374 1854 2061 2591 2748 3708 4122 5182 7773 8244 10364 15546 23319 23587 31092 46638 47174 70761 93276 94348 141522 212283 266873 283044 424566 533746 593339 800619 849132 1067492 1186678 1601238 1780017 2373356 2401857 3202476 3560034 4803714 5340051 7120068 9607428 10680102 21360204 61113917 122227834 183341751 244455668 366683502 550025253 733367004 1100050506 2200101012