Search a number
-
+
321133023000 = 23325335681447
BaseRepresentation
bin1001010110001010000…
…01010000111100011000
31010200220022102211100200
410223011001100330120
520230140023214000
6403305415102200
732125655441316
oct4530501207430
91120808384320
10321133023000
11114212246269
12522a2971960
132438a17a14a
1411785ac10b6
158547b35500
hex4ac5050f18

321133023000 has 96 divisors (see below), whose sum is σ = 1085429648160. Its totient is φ = 85635470400.

The previous prime is 321133022999. The next prime is 321133023019. The reversal of 321133023000 is 320331123.

321133023000 is a `hidden beast` number, since 32 + 1 + 1 + 330 + 2 + 300 + 0 = 666.

It is a super-2 number, since 2×3211330230002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17831724 + ... + 17849723.

It is an arithmetic number, because the mean of its divisors is an integer number (11306558835).

Almost surely, 2321133023000 is an apocalyptic number.

321133023000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321133023000 is an abundant number, since it is smaller than the sum of its proper divisors (764296625160).

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

321133023000 is a wasteful number, since it uses less digits than its factorization.

321133023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35681474 (or 35681457 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 321133023000 its reverse (320331123), we get a palindrome (321453354123).

The spelling of 321133023000 in words is "three hundred twenty-one billion, one hundred thirty-three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 35681447 71362894 107044341 142725788 178407235 214088682 285451576 321133023 356814470 428177364 535221705 642266046 713628940 856354728 892036175 1070443410 1284532092 1427257880 1605665115 1784072350 2140886820 2569064184 2676108525 3211330230 3568144700 4281773640 4460180875 5352217050 6422660460 7136289400 8028325575 8920361750 10704434100 12845320920 13380542625 16056651150 17840723500 21408868200 26761085250 32113302300 35681447000 40141627875 53522170500 64226604600 80283255750 107044341000 160566511500 321133023000