Search a number
-
+
10201212 = 2232725783
BaseRepresentation
bin100110111010…
…100001111100
3201012021102200
4212322201330
510102414322
61002351500
7152465100
oct46724174
921167380
1010201212
11583835a
1234bb590
132162328
1414d7900
15d678ac
hex9ba87c

10201212 has 54 divisors (see below), whose sum is σ = 30001608. Its totient is φ = 2914128.

The previous prime is 10201211. The next prime is 10201229. The reversal of 10201212 is 21210201.

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

10201212 is a modest number, since divided by 1212 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10201194 and 10201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1128 + ... + 4655.

Almost surely, 210201212 is an apocalyptic number.

10201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201212 is an abundant number, since it is smaller than the sum of its proper divisors (19800396).

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

10201212 is a wasteful number, since it uses less digits than its factorization.

10201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5795 counting only the distinct ones).

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

The square root of 10201212 is about 3193.9336248582. The cubic root of 10201212 is about 216.8788779492.

Adding to 10201212 its reverse (21210201), we get a palindrome (31411413).

It can be divided in two parts, 10201 and 212, that multiplied together give a palindrome (2162612).

The spelling of 10201212 in words is "ten million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5783 11566 17349 23132 34698 40481 52047 69396 80962 104094 121443 161924 208188 242886 283367 364329 485772 566734 728658 850101 1133468 1457316 1700202 2550303 3400404 5100606 10201212