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1311332332332 = 2231121637551693
BaseRepresentation
bin10011000101010001011…
…111110111001100101100
311122100210000010120201110
4103011101133313030230
5132441102034113312
62442230122512020
7163512015625221
oct23052137671454
94570700116643
101311332332332
11466150a08200
1219218a665610
1396872b30329
144767c647948
152419dc5d43c
hex131517f732c

1311332332332 has 72 divisors (see below), whose sum is σ = 3365284850928. Its totient is φ = 397129969280.

The previous prime is 1311332332291. The next prime is 1311332332333. The reversal of 1311332332332 is 2332332331131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1311332332332.

It is not an unprimeable number, because it can be changed into a prime (1311332332333) 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, 2101078 + ... + 2652770.

It is an arithmetic number, because the mean of its divisors is an integer number (46740067374).

Almost surely, 21311332332332 is an apocalyptic number.

1311332332332 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 1311332332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682642425464).

1311332332332 is an abundant number, since it is smaller than the sum of its proper divisors (2053952518596).

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

1311332332332 is a wasteful number, since it uses less digits than its factorization.

1311332332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553359 (or 553346 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

Adding to 1311332332332 its reverse (2332332331131), we get a palindrome (3643664663463).

The spelling of 1311332332332 in words is "one trillion, three hundred eleven billion, three hundred thirty-two million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1637 3274 4911 6548 9822 18007 19644 36014 54021 72028 108042 198077 216084 396154 551693 594231 792308 1103386 1188462 1655079 2206772 2376924 3310158 6068623 6620316 12137246 18205869 24274492 36411738 66754853 72823476 133509706 200264559 267019412 400529118 801058236 903121441 1806242882 2709364323 3612485764 5418728646 9934335851 10837457292 19868671702 29803007553 39737343404 59606015106 109277694361 119212030212 218555388722 327833083083 437110777444 655666166166 1311332332332