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330303032033130 = 232513463760882097
BaseRepresentation
bin100101100011010001010101…
…0111001000111111101101010
31121022111122212012212121121200
41023012202222321013331222
5321243141102200030010
63130255041303345030
7126400415023021452
oct11306425271077552
91538448765777550
10330303032033130
1196276802667182
1231066b35152176
131123c5998916c0
145b7ca758a8d62
15282be170b6cc0
hex12c68aae47f6a

330303032033130 has 96 divisors (see below), whose sum is σ = 925047954636624. Its totient is φ = 81287826352128.

The previous prime is 330303032033129. The next prime is 330303032033173. The reversal of 330303032033130 is 31330230303033.

330303032033130 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 0 + 3 + 0 + 320 + 331 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5509502756289 + 324793529276841 = 2347233^2 + 18022029^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330303032033094 and 330303032033103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25015759 + ... + 35866338.

Almost surely, 2330303032033130 is an apocalyptic number.

330303032033130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330303032033130 is an abundant number, since it is smaller than the sum of its proper divisors (594744922603494).

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

330303032033130 is a wasteful number, since it uses less digits than its factorization.

330303032033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60886760 (or 60886757 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 330303032033130 its reverse (31330230303033), we get a palindrome (361633262336163).

The spelling of 330303032033130 in words is "three hundred thirty trillion, three hundred three billion, thirty-two million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 4637 9274 13911 23185 27822 41733 46370 60281 69555 83466 120562 139110 180843 208665 301405 361686 417330 542529 602810 904215 1085058 1808430 2712645 5425290 60882097 121764194 182646291 304410485 365292582 547938873 608820970 791467261 913231455 1095877746 1582934522 1826462910 2374401783 2739694365 3957336305 4748803566 5479388730 7123205349 7914672610 11872008915 14246410698 23744017830 35616026745 71232053490 282310283789 564620567578 846930851367 1411551418945 1693861702734 2540792554101 2823102837890 3670033689257 4234654256835 5081585108202 7340067378514 8469308513670 11010101067771 12703962770505 18350168446285 22020202135542 25407925541010 33030303203313 36700336892570 55050505338855 66060606406626 110101010677710 165151516016565 330303032033130