Search a number
-
+
1210312312 = 2311195912269
BaseRepresentation
bin100100000100011…
…1110011001111000
310010100102020100221
41020020332121320
54434314443222
6320033105424
741664325216
oct11010763170
93110366327
101210312312
1157120a610
122993b8274
13163995241
14b6a55cb6
15713c60c7
hex4823e678

1210312312 has 64 divisors (see below), whose sum is σ = 2650320000. Its totient is φ = 512311680.

The previous prime is 1210312307. The next prime is 1210312339. The reversal of 1210312312 is 2132130121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92514 + ... + 104782.

It is an arithmetic number, because the mean of its divisors is an integer number (41411250).

Almost surely, 21210312312 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 1210312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325160000).

1210312312 is an abundant number, since it is smaller than the sum of its proper divisors (1440007688).

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

1210312312 is a wasteful number, since it uses less digits than its factorization.

1210312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1210312312 is about 34789.5431415821. The cubic root of 1210312312 is about 1065.6939094214.

Adding to 1210312312 its reverse (2132130121), we get a palindrome (3342442433).

The spelling of 1210312312 in words is "one billion, two hundred ten million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 59 76 88 118 152 209 236 418 472 649 836 1121 1298 1672 2242 2596 4484 5192 8968 12269 12331 24538 24662 49076 49324 98152 98648 134959 233111 269918 466222 539836 723871 932444 1079672 1447742 1864888 2564221 2895484 5128442 5790968 7962581 10256884 13753549 15925162 20513768 27507098 31850324 55014196 63700648 110028392 151289039 302578078 605156156 1210312312