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3300131131230 = 2351943891512857
BaseRepresentation
bin110000000001011111001…
…001001100111101011110
3102200111012210221110102110
4300001133021030331132
5413032132032144410
611004020451134450
7460266216531303
oct60013711147536
912614183843373
103300131131230
111062639a9789a
124537072a4426
131ac27c88214b
14b5a276110aa
155ac9d6a6720
hex3005f24cf5e

3300131131230 has 128 divisors (see below), whose sum is σ = 8626921459200. Its totient is φ = 805178271744.

The previous prime is 3300131131229. The next prime is 3300131131243. The reversal of 3300131131230 is 321311310033.

3300131131230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3300131131197 and 3300131131206.

It is a congruent number.

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, 1424962 + ... + 2937818.

It is an arithmetic number, because the mean of its divisors is an integer number (67397823900).

Almost surely, 23300131131230 is an apocalyptic number.

3300131131230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300131131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313460729600).

3300131131230 is an abundant number, since it is smaller than the sum of its proper divisors (5326790327970).

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

3300131131230 is a wasteful number, since it uses less digits than its factorization.

3300131131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513018.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 3300131131230 its reverse (321311310033), we get a palindrome (3621442441263).

The spelling of 3300131131230 in words is "three trillion, three hundred billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 89 95 114 129 178 190 215 258 267 285 430 445 534 570 645 817 890 1290 1335 1634 1691 2451 2670 3382 3827 4085 4902 5073 7654 8170 8455 10146 11481 12255 16910 19135 22962 24510 25365 38270 50730 57405 72713 114810 145426 218139 363565 436278 727130 1090695 1512857 2181390 3025714 4538571 7564285 9077142 15128570 22692855 28744283 45385710 57488566 65052851 86232849 130105702 134644273 143721415 172465698 195158553 269288546 287442830 325264255 390317106 403932819 431164245 650528510 673221365 807865638 862328490 975792765 1236004169 1346442730 1951585530 2019664095 2472008338 2558241187 3708012507 4039328190 5116482374 5789703739 6180020845 7416025014 7674723561 11579407478 12360041690 12791205935 15349447122 17369111217 18540062535 25582411870 28948518695 34738222434 37080125070 38373617805 57897037390 76747235610 86845556085 110004371041 173691112170 220008742082 330013113123 550021855205 660026226246 1100043710410 1650065565615 3300131131230