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1330030321120 = 25573233488723
BaseRepresentation
bin10011010110101011111…
…111000001110111100000
311201011001002200211100201
4103112223333001313200
5133242400230233440
62455001341354544
7165043251124114
oct23265377016740
94634032624321
101330030321120
114730764959a6
12195928568a54
1398562847717
1448533a47744
15248e553d19a
hex135abfc1de0

1330030321120 has 96 divisors (see below), whose sum is σ = 3198917528352. Its totient is φ = 522471186432.

The previous prime is 1330030321099. The next prime is 1330030321163. The reversal of 1330030321120 is 211230300331.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2477079 + ... + 2965801.

It is an arithmetic number, because the mean of its divisors is an integer number (33322057587).

Almost surely, 21330030321120 is an apocalyptic number.

1330030321120 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 1330030321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599458764176).

1330030321120 is an abundant number, since it is smaller than the sum of its proper divisors (1868887207232).

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

1330030321120 is a wasteful number, since it uses less digits than its factorization.

1330030321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489044 (or 489036 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1330030321120 its reverse (211230300331), we get a palindrome (1541260621451).

The spelling of 1330030321120 in words is "one trillion, three hundred thirty billion, thirty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 233 292 365 466 584 730 932 1165 1168 1460 1864 2330 2336 2920 3728 4660 5840 7456 9320 11680 17009 18640 34018 37280 68036 85045 136072 170090 272144 340180 488723 544288 680360 977446 1360720 1954892 2443615 2721440 3909784 4887230 7819568 9774460 15639136 19548920 35676779 39097840 71353558 78195680 113872459 142707116 178383895 227744918 285414232 356767790 455489836 569362295 570828464 713535580 910979672 1138724590 1141656928 1427071160 1821959344 2277449180 2854142320 3643918688 4554898360 5708284640 8312689507 9109796720 16625379014 18219593440 33250758028 41563447535 66501516056 83126895070 133003032112 166253790140 266006064224 332507580280 665015160560 1330030321120