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1320331112044 = 2272926312914789
BaseRepresentation
bin10011001101101001110…
…111011110111001101100
311200020000010220221210221
4103031221313132321230
5133113014231041134
62450315101541124
7164251015164460
oct23155167367154
94606003827727
101320331112044
11469a4954562a
12193a802747a4
1397678274059
1447c938224a0
1524528c985b4
hex13369ddee6c

1320331112044 has 96 divisors (see below), whose sum is σ = 2744803353600. Its totient is φ = 543731408640.

The previous prime is 1320331112039. The next prime is 1320331112047. The reversal of 1320331112044 is 4402111330231.

It is not an unprimeable number, because it can be changed into a prime (1320331112047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275698402 + ... + 275703190.

It is an arithmetic number, because the mean of its divisors is an integer number (28591701600).

Almost surely, 21320331112044 is an apocalyptic number.

1320331112044 is a gapful number since it is divisible by the number (14) 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 1320331112044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372401676800).

1320331112044 is an abundant number, since it is smaller than the sum of its proper divisors (1424472241556).

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

1320331112044 is a wasteful number, since it uses less digits than its factorization.

1320331112044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1320331112044 its reverse (4402111330231), we get a palindrome (5722442442275).

The spelling of 1320331112044 in words is "one trillion, three hundred twenty billion, three hundred thirty-one million, one hundred twelve thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 263 406 526 812 1052 1291 1841 2582 3682 4789 5164 7364 7627 9037 9578 15254 18074 19156 30508 33523 36148 37439 53389 67046 74878 106778 134092 138881 149756 213556 262073 277762 339533 524146 555524 679066 972167 1048292 1259507 1358132 1944334 2376731 2519014 3888668 4753462 5038028 6182599 8816549 9506924 9846457 12365198 17633098 19692914 24730396 35266196 36525703 39385828 43278193 68925199 73051406 86556386 137850398 146102812 173112772 179295371 255679921 275700796 358590742 511359842 717181484 1022719684 1255067597 1626023537 2510135194 3252047074 5020270388 6504094148 11382164759 22764329518 45528659036 47154682573 94309365146 188618730292 330082778011 660165556022 1320331112044