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1333031331340 = 225376750515323
BaseRepresentation
bin10011011001011110110…
…110111110011000001100
311201102210020121221110101
4103121132312332120030
5133320022010100330
62500215223420444
7165210521235052
oct23313666763014
94642706557411
101333031331340
11474376486335
121964255b4724
13989204c3a07
144873a4341d2
1524a1dc314ca
hex1365edbe60c

1333031331340 has 96 divisors (see below), whose sum is σ = 2919061119744. Its totient is φ = 510860908800.

The previous prime is 1333031331323. The next prime is 1333031331343. The reversal of 1333031331340 is 431331303331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1333031331299 and 1333031331308.

It is not an unprimeable number, because it can be changed into a prime (1333031331343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250425919 + ... + 250431241.

It is an arithmetic number, because the mean of its divisors is an integer number (30406886664).

Almost surely, 21333031331340 is an apocalyptic number.

1333031331340 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 1333031331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459530559872).

1333031331340 is an abundant number, since it is smaller than the sum of its proper divisors (1586029788404).

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

1333031331340 is a wasteful number, since it uses less digits than its factorization.

1333031331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 1333031331340 its reverse (431331303331), we get a palindrome (1764362634671).

The spelling of 1333031331340 in words is "one trillion, three hundred thirty-three billion, thirty-one million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 268 335 370 670 740 1340 2479 4958 5051 5323 9916 10102 10646 12395 20204 21292 24790 25255 26615 49580 50510 53230 101020 106460 186887 196951 338417 356641 373774 393902 676834 713282 747548 787804 934435 984755 1353668 1426564 1692085 1783205 1868870 1969510 3384170 3566410 3737740 3939020 6768340 7132820 12521429 13195717 25042858 26391434 26886473 50085716 52782868 53772946 62607145 65978585 107545892 125214290 131957170 134432365 250428580 263914340 268864730 537729460 994799501 1801393691 1989599002 3602787382 3979198004 4973997505 7205574764 9006968455 9947995010 18013936910 19895990020 36027873820 66651566567 133303133134 266606266268 333257832835 666515665670 1333031331340