Search a number
-
+
1331002200 = 2335211201667
BaseRepresentation
bin100111101010101…
…0111101101011000
310102202111220202210
41033111113231120
510211214032300
6340023555120
744661221613
oct11725275530
93382456683
101331002200
11623352720
123118bbaa0
131829a1188
14c8ab117a
157bcb6050
hex4f557b58

1331002200 has 96 divisors (see below), whose sum is σ = 4501229760. Its totient is φ = 322665600.

The previous prime is 1331002129. The next prime is 1331002201. The reversal of 1331002200 is 22001331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331002201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94234 + ... + 107433.

It is an arithmetic number, because the mean of its divisors is an integer number (46887810).

Almost surely, 21331002200 is an apocalyptic number.

1331002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331002200 is an abundant number, since it is smaller than the sum of its proper divisors (3170227560).

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

1331002200 is a wasteful number, since it uses less digits than its factorization.

1331002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201697 (or 201688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1331002200 is about 36482.9028450314. The cubic root of 1331002200 is about 1100.0006060603. Note that the first 3 decimals are identical.

Adding to 1331002200 its reverse (22001331), we get a palindrome (1353003531).

The spelling of 1331002200 in words is "one billion, three hundred thirty-one million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 201667 403334 605001 806668 1008335 1210002 1613336 2016670 2218337 2420004 3025005 4033340 4436674 4840008 5041675 6050010 6655011 8066680 8873348 10083350 11091685 12100020 13310022 15125025 17746696 20166700 22183370 24200040 26620044 30250050 33275055 40333400 44366740 53240088 55458425 60500100 66550110 88733480 110916850 121000200 133100220 166375275 221833700 266200440 332750550 443667400 665501100 1331002200