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30003000300030 = 23517731375882353
BaseRepresentation
bin1101101001001100111100…
…01011001101000111111110
310221020020222200021210101110
412310212132023031013332
512413032121034100110
6143451104342022450
76214434213461502
oct664463613150776
9127206880253343
1030003000300030
11961822354695a
123446948117a26
131398369bca204
1475a21da30302
153706a83cba20
hex1b499e2cd1fe

30003000300030 has 128 divisors (see below), whose sum is σ = 77851496366208. Its totient is φ = 7372798820352.

The previous prime is 30003000299941. The next prime is 30003000300079. The reversal of 30003000300030 is 3000300030003.

30003000300030 is a modest number, since divided by 3000300030 gives 30 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30003000299979 and 30003000300015.

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, 2159334 + ... + 8041686.

It is an arithmetic number, because the mean of its divisors is an integer number (608214815361).

Almost surely, 230003000300030 is an apocalyptic number.

30003000300030 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 30003000300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38925748183104).

30003000300030 is an abundant number, since it is smaller than the sum of its proper divisors (47848496066178).

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

30003000300030 is a wasteful number, since it uses less digits than its factorization.

30003000300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882590.

The product of its (nonzero) digits is 81, while the sum is 12.

Adding to 30003000300030 its reverse (3000300030003), we get a palindrome (33003300330033).

It can be divided in two parts, 30003000 and 300030, that multiplied together give a square (9001800090000 = 30003002).

The spelling of 30003000300030 in words is "thirty trillion, three billion, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 137 146 170 219 255 274 365 411 438 510 685 730 822 1095 1241 1370 2055 2190 2329 2482 3723 4110 4658 6205 6987 7446 10001 11645 12410 13974 18615 20002 23290 30003 34935 37230 50005 60006 69870 100010 150015 170017 300030 340034 510051 850085 1020102 1700170 2550255 5100510 5882353 11764706 17647059 29411765 35294118 58823530 88235295 100000001 176470590 200000002 300000003 429411769 500000005 600000006 805882361 858823538 1000000010 1288235307 1500000015 1611764722 2147058845 2417647083 2576470614 3000000030 4029411805 4294117690 4835294166 6441176535 7300000073 8058823610 12088235415 12882353070 13700000137 14600000146 21900000219 24176470830 27400000274 36500000365 41100000411 43800000438 58829412353 68500000685 73000000730 82200000822 109500001095 117658824706 137000001370 176488237059 205500002055 219000002190 294147061765 352976474118 411000004110 588294123530 882441185295 1000100010001 1764882370590 2000200020002 3000300030003 5000500050005 6000600060006 10001000100010 15001500150015 30003000300030