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1331222323240 = 235431973392279
BaseRepresentation
bin10011010111110011000…
…010001010000000101000
311201021010011122210212101
4103113303002022000220
5133302320403320430
62455315522223144
7165114634022005
oct23276302120050
94637104583771
101331222323240
11473628329817
12195bbb7b4ab4
13986c279b714
14486080948ac
1524964ee8dca
hex135f308a028

1331222323240 has 64 divisors (see below), whose sum is σ = 3066468451200. Its totient is φ = 519840529152.

The previous prime is 1331222323237. The next prime is 1331222323243. The reversal of 1331222323240 is 423232221331.

It is an interprime number because it is at equal distance from previous prime (1331222323237) and next prime (1331222323243).

It is a junction number, because it is equal to n+sod(n) for n = 1331222323199 and 1331222323208.

It is not an unprimeable number, because it can be changed into a prime (1331222323243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197421 + ... + 3589699.

It is an arithmetic number, because the mean of its divisors is an integer number (47913569550).

Almost surely, 21331222323240 is an apocalyptic number.

1331222323240 is a gapful number since it is divisible by the number (10) 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 1331222323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533234225600).

1331222323240 is an abundant number, since it is smaller than the sum of its proper divisors (1735246127960).

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

1331222323240 is a wasteful number, since it uses less digits than its factorization.

1331222323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394306 (or 394302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1331222323240 its reverse (423232221331), we get a palindrome (1754454544571).

The spelling of 1331222323240 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-two million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1973 3946 7892 9865 15784 19730 39460 78920 84839 169678 339356 392279 424195 678712 784558 848390 1569116 1696780 1961395 3138232 3393560 3922790 7845580 15691160 16867997 33735994 67471988 84339985 134943976 168679970 337359940 674719880 773966467 1547932934 3095865868 3869832335 6191731736 7739664670 15479329340 30958658680 33280558081 66561116162 133122232324 166402790405 266244464648 332805580810 665611161620 1331222323240