Search a number
-
+
1000302212 = 2271321371543
BaseRepresentation
bin111011100111110…
…110011010000100
32120201020121200002
4323213312122010
54022034132322
6243131540432
733534266660
oct7347663204
92521217602
101000302212
1147370a948
1223abba718
1312c314900
1496bc98a0
155cc40c92
hex3b9f6684

1000302212 has 72 divisors (see below), whose sum is σ = 2183561856. Its totient is φ = 392580864.

The previous prime is 1000302179. The next prime is 1000302221. The reversal of 1000302212 is 2122030001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000302193 and 1000302202.

It is an unprimeable number.

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, 647513 + ... + 649055.

It is an arithmetic number, because the mean of its divisors is an integer number (30327248).

Almost surely, 21000302212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091780928).

1000302212 is an abundant number, since it is smaller than the sum of its proper divisors (1183259644).

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

1000302212 is a wasteful number, since it uses less digits than its factorization.

1000302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1000302212 is about 31627.5546319977. The cubic root of 1000302212 is about 1000.1007271870.

Adding to 1000302212 its reverse (2122030001), we get a palindrome (3122332213).

The spelling of 1000302212 in words is "one billion, three hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 137 169 182 274 338 364 548 676 959 1183 1543 1781 1918 2366 3086 3562 3836 4732 6172 7124 10801 12467 20059 21602 23153 24934 40118 43204 46306 49868 80236 92612 140413 162071 211391 260767 280826 324142 422782 521534 561652 648284 845564 1043068 1479737 1825369 2748083 2959474 3650738 5496166 5918948 7301476 10992332 19236581 35725079 38473162 71450158 76946324 142900316 250075553 500151106 1000302212