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30031001303300 = 2252532770313879
BaseRepresentation
bin1101101010000001000110…
…01010100011100100000100
310221022221021010010010202122
412311000203022203210010
512414011442313201200
6143512015044425112
76216445131204524
oct665004312434404
9127287233103678
1030031001303300
119629092369078
1234502616a8198
13139abb00a97ba
1475b7187a1684
15371296790385
hex1b50232a3904

30031001303300 has 108 divisors (see below), whose sum is σ = 66433452361920. Its totient is φ = 11783372365440.

The previous prime is 30031001303273. The next prime is 30031001303341. The reversal of 30031001303300 is 330310013003.

It is a super-3 number, since 3×300310013033003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2163765761 + ... + 2163779639.

Almost surely, 230031001303300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30031001303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33216726180960).

30031001303300 is an abundant number, since it is smaller than the sum of its proper divisors (36402451058620).

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

30031001303300 is a wasteful number, since it uses less digits than its factorization.

30031001303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21702 (or 21642 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 30031001303300 its reverse (330310013003), we get a palindrome (30361311316303).

The spelling of 30031001303300 in words is "thirty trillion, thirty-one billion, one million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 2809 5300 5618 7703 11236 13879 14045 15406 27758 28090 30812 38515 55516 56180 69395 70225 77030 138790 140450 154060 192575 277580 280900 346975 385150 408259 693950 735587 770300 816518 1387900 1471174 1633036 2041295 2942348 3677935 4082590 7355870 8165180 10206475 14711740 18389675 20412950 21637727 36779350 38986111 40825900 43275454 73558700 77972222 86550908 106909937 108188635 155944444 194930555 213819874 216377270 389861110 427639748 432754540 534549685 540943175 779722220 974652775 1069099370 1081886350 1949305550 2138198740 2163772700 2672748425 3898611100 5345496850 5666226661 10690993700 11332453322 22664906644 28331133305 56662266610 113324533220 141655666525 283311333050 300310013033 566622666100 600620026066 1201240052132 1501550065165 3003100130330 6006200260660 7507750325825 15015500651650 30031001303300