Search a number
-
+
30001014342420 = 223511364571246841
BaseRepresentation
bin1101101001001001001111…
…10011011000001100010100
310221020001212021100200200220
412310210213303120030110
512413014034132424140
6143450135320034340
76214334050223562
oct664444763301424
9127201767320626
1030001014342420
1196173a4520580
1234464930029b0
13139811162b674
1475a0b1d8ca32
153705ddd8ebd0
hex1b4927cd8314

30001014342420 has 96 divisors (see below), whose sum is σ = 91642049122176. Its totient is φ = 7272767846400.

The previous prime is 30001014342391. The next prime is 30001014342449. The reversal of 30001014342420 is 2424341010003.

It is an interprime number because it is at equal distance from previous prime (30001014342391) and next prime (30001014342449).

It is a super-2 number, since 2×300010143424202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23438200 + ... + 24685040.

It is an arithmetic number, because the mean of its divisors is an integer number (954604678356).

Almost surely, 230001014342420 is an apocalyptic number.

30001014342420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30001014342420 is an abundant number, since it is smaller than the sum of its proper divisors (61641034779756).

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

30001014342420 is a wasteful number, since it uses less digits than its factorization.

30001014342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283321 (or 1283319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30001014342420 its reverse (2424341010003), we get a palindrome (32425355352423).

The spelling of 30001014342420 in words is "thirty trillion, one billion, fourteen million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 36457 72914 109371 145828 182285 218742 364570 401027 437484 546855 729140 802054 1093710 1203081 1246841 1604108 2005135 2187420 2406162 2493682 3740523 4010270 4812324 4987364 6015405 6234205 7481046 8020540 12030810 12468410 13715251 14962092 18702615 24061620 24936820 27430502 37405230 41145753 54861004 68576255 74810460 82291506 137152510 164583012 205728765 274305020 411457530 822915060 45456082337 90912164674 136368247011 181824329348 227280411685 272736494022 454560823370 500016905707 545472988044 681841235055 909121646740 1000033811414 1363682470110 1500050717121 2000067622828 2500084528535 2727364940220 3000101434242 5000169057070 6000202868484 7500253585605 10000338114140 15000507171210 30001014342420