Search a number
-
+
30333203200000 = 211554739563
BaseRepresentation
bin1101110010110011111111…
…10011010011100000000000
310222101211022002022002221101
412321121333303103200000
512433434400004400000
6144302514200104144
76250334024016121
oct671317763234000
9128354262262841
1030333203200000
11973526a46aa08
12349a940465054
1313c054115215c
1476c1c6116048
153790823e2e6a
hex1b967fcd3800

30333203200000 has 144 divisors (see below), whose sum is σ = 75809657949480. Its totient is φ = 12133278720000.

The previous prime is 30333203199989. The next prime is 30333203200057. The reversal of 30333203200000 is 230233303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4030219 + ... + 8769781.

Almost surely, 230333203200000 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 30333203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904828974740).

30333203200000 is an abundant number, since it is smaller than the sum of its proper divisors (45476454749480).

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

30333203200000 is an frugal number, since it uses more digits than its factorization.

30333203200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739610 (or 4739570 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 30333203200000 its reverse (230233303), we get a palindrome (30333433433303).

The spelling of 30333203200000 in words is "thirty trillion, three hundred thirty-three billion, two hundred three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 10240 12500 12800 16000 20000 25000 25600 32000 40000 50000 51200 64000 80000 100000 128000 160000 200000 256000 320000 400000 640000 800000 1280000 1600000 3200000 4739563 6400000 9479126 18958252 23697815 37916504 47395630 75833008 94791260 118489075 151666016 189582520 236978150 303332032 379165040 473956300 592445375 606664064 758330080 947912600 1184890750 1213328128 1516660160 1895825200 2369781500 2426656256 2962226875 3033320320 3791650400 4739563000 4853312512 5924453750 6066640640 7583300800 9479126000 9706625024 11848907500 12133281280 14811134375 15166601600 18958252000 23697815000 24266562560 29622268750 30333203200 37916504000 47395630000 48533125120 59244537500 60666406400 75833008000 94791260000 118489075000 121332812800 151666016000 189582520000 236978150000 242665625600 303332032000 379165040000 473956300000 606664064000 758330080000 947912600000 1213328128000 1516660160000 1895825200000 3033320320000 3791650400000 6066640640000 7583300800000 15166601600000 30333203200000