Search a number
-
+
30430243203000 = 2335336132807477
BaseRepresentation
bin1101110101101000101111…
…10101100010011110111000
310222202002202222012000122120
412322310113311202132320
512442032114224444000
6144415243304121240
76260340536311554
oct672642765423670
9128662688160576
1030430243203000
119772436a784a3
1234b5702a66220
1313c9737645384
14772b8ddc4864
1537b86183b6a0
hex1bad17d627b8

30430243203000 has 128 divisors (see below), whose sum is σ = 94968670605120. Its totient is φ = 8112482649600.

The previous prime is 30430243202999. The next prime is 30430243203001. The reversal of 30430243203000 is 30234203403.

It is an interprime number because it is at equal distance from previous prime (30430243202999) and next prime (30430243203001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30430243203001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9435262 + ... + 12242738.

Almost surely, 230430243203000 is an apocalyptic number.

30430243203000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30430243203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47484335302560).

30430243203000 is an abundant number, since it is smaller than the sum of its proper divisors (64538427402120).

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

30430243203000 is a wasteful number, since it uses less digits than its factorization.

30430243203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811114 (or 2811100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 30430243203000 its reverse (30234203403), we get a palindrome (30460477406403).

The spelling of 30430243203000 in words is "thirty trillion, four hundred thirty billion, two hundred forty-three million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3613 7226 10839 14452 18065 21678 28904 36130 43356 54195 72260 86712 90325 108390 144520 180650 216780 270975 361300 433560 451625 541950 722600 903250 1083900 1354875 1806500 2167800 2709750 2807477 3613000 5419500 5614954 8422431 10839000 11229908 14037385 16844862 22459816 28074770 33689724 42112155 56149540 67379448 70186925 84224310 112299080 140373850 168448620 210560775 280747700 336897240 350934625 421121550 561495400 701869250 842243100 1052803875 1403738500 1684486200 2105607750 2807477000 4211215500 8422431000 10143414401 20286828802 30430243203 40573657604 50717072005 60860486406 81147315208 101434144010 121720972812 152151216015 202868288020 243441945624 253585360025 304302432030 405736576040 507170720050 608604864060 760756080075 1014341440100 1217209728120 1267926800125 1521512160150 2028682880200 2535853600250 3043024320300 3803780400375 5071707200500 6086048640600 7607560800750 10143414401000 15215121601500 30430243203000