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1330303023330 = 23559821937977
BaseRepresentation
bin10011010110111100001…
…111010011100011100010
311201011202002211112110120
4103112330033103203202
5133243430033221310
62455044402341110
7165053102061231
oct23267417234342
94634662745416
101330303023330
114731a6415126
121959a395a796
13985a71a8488
144855bd52b18
152490e458b70
hex135bc3d38e2

1330303023330 has 128 divisors (see below), whose sum is σ = 3257596258560. Its totient is φ = 347582177280.

The previous prime is 1330303023319. The next prime is 1330303023353. The reversal of 1330303023330 is 333203030331.

It is a happy number.

It is a super-2 number, since 2×13303030233302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1330303023330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1361619802 + ... + 1361620778.

It is an arithmetic number, because the mean of its divisors is an integer number (25449970770).

Almost surely, 21330303023330 is an apocalyptic number.

1330303023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330303023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628798129280).

1330303023330 is an abundant number, since it is smaller than the sum of its proper divisors (1927293235230).

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

1330303023330 is a wasteful number, since it uses less digits than its factorization.

1330303023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 1330303023330 its reverse (333203030331), we get a palindrome (1663506053661).

The spelling of 1330303023330 in words is "one trillion, three hundred thirty billion, three hundred three million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 821 885 937 977 1642 1770 1874 1954 2463 2811 2931 4105 4685 4885 4926 5622 5862 8210 9370 9770 12315 14055 14655 24630 28110 29310 48439 55283 57643 96878 110566 115286 145317 165849 172929 242195 276415 288215 290634 331698 345858 484390 552830 576430 726585 769277 802117 829245 864645 915449 1453170 1538554 1604234 1658490 1729290 1830898 2307831 2406351 2746347 3846385 4010585 4577245 4615662 4812702 5492694 7692770 8021170 9154490 11539155 12031755 13731735 23078310 24063510 27463470 45387343 47324903 54011491 90774686 94649806 108022982 136162029 141974709 162034473 226936715 236624515 270057455 272324058 283949418 324068946 453873430 473249030 540114910 680810145 709873545 751583629 810172365 1361620290 1419747090 1503167258 1620344730 2254750887 3757918145 4509501774 7515836290 11273754435 22547508870 44343434111 88686868222 133030302333 221717170555 266060604666 443434341110 665151511665 1330303023330