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1311282012 = 2231721812089
BaseRepresentation
bin100111000101000…
…1001001101011100
310101101102000202110
41032022021031130
510141142011022
6334041154020
744331466425
oct11612111534
93341360673
101311282012
11613203647
1230718b910
1317b888221
14c621a64c
157a1bd00c
hex4e28935c

1311282012 has 72 divisors (see below), whose sum is σ = 3269746480. Its totient is φ = 408913920.

The previous prime is 1311282001. The next prime is 1311282023. The reversal of 1311282012 is 2102821131.

It is an interprime number because it is at equal distance from previous prime (1311282001) and next prime (1311282023).

It is a self number, because there is not a number n which added to its sum of digits gives 1311282012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626664 + ... + 628752.

Almost surely, 21311282012 is an apocalyptic number.

1311282012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311282012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634873240).

1311282012 is an abundant number, since it is smaller than the sum of its proper divisors (1958464468).

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

1311282012 is a wasteful number, since it uses less digits than its factorization.

1311282012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1311282012 is about 36211.6281324107. The cubic root of 1311282012 is about 1094.5410006774.

The spelling of 1311282012 in words is "one billion, three hundred eleven million, two hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 289 362 543 578 724 867 1086 1156 1734 2089 2172 3077 3468 4178 6154 6267 8356 9231 12308 12534 18462 25068 35513 36924 52309 71026 104618 106539 142052 156927 209236 213078 313854 378109 426156 603721 627708 756218 1134327 1207442 1512436 1811163 2268654 2414884 3622326 4537308 6427853 7244652 12855706 19283559 25711412 38567118 77134236 109273501 218547002 327820503 437094004 655641006 1311282012