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1311322012 = 22711213191567
BaseRepresentation
bin100111000101001…
…0010111110011100
310101101111001121221
41032022102332130
510141144301022
6334042103124
744332024150
oct11612227634
93341431557
101311322012
11613230700
123071aaaa4
1317b8a04b0
14c622b060
157a1c9cc7
hex4e292f9c

1311322012 has 144 divisors (see below), whose sum is σ = 3269969920. Its totient is φ = 446497920.

The previous prime is 1311322009. The next prime is 1311322021. The reversal of 1311322012 is 2102231131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836053 + ... + 837619.

Almost surely, 21311322012 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 1311322012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634984960).

1311322012 is an abundant number, since it is smaller than the sum of its proper divisors (1958647908).

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

1311322012 is a wasteful number, since it uses less digits than its factorization.

1311322012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

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

The square root of 1311322012 is about 36212.1804369745. The cubic root of 1311322012 is about 1094.5521300390.

Adding to 1311322012 its reverse (2102231131), we get a palindrome (3413553143).

It can be divided in two parts, 1311 and 322012, that added together give a palindrome (323323).

The spelling of 1311322012 in words is "one billion, three hundred eleven million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 121 133 143 154 182 209 242 247 266 286 308 364 418 484 494 532 572 836 847 988 1001 1463 1567 1573 1694 1729 2002 2299 2717 2926 3134 3146 3388 3458 4004 4598 5434 5852 6268 6292 6916 9196 10868 10969 11011 16093 17237 19019 20371 21938 22022 29773 29887 32186 34474 38038 40742 43876 44044 59546 59774 64372 68948 76076 81484 119092 119548 120659 142597 189607 208411 209209 224081 241318 285194 327503 379214 387049 416822 418418 448162 482636 570388 655006 758428 774098 833644 836836 896324 1310012 1327249 1548196 1568567 2292521 2464891 2654498 2709343 3137134 3602533 4257539 4585042 4929782 5308996 5418686 6274268 7205066 8515078 9170084 9859564 10837372 14410132 17030156 17254237 25217731 29802773 34508474 46832929 50435462 59605546 69016948 93665858 100870924 119211092 187331716 327830503 655661006 1311322012