Search a number
-
+
330104214033000 = 233531110003158001
BaseRepresentation
bin100101100001110100110000…
…0011010101001001001101000
31121021210122200020201202010020
41023003221200122221021220
5321231411412243024000
63130023440555520440
7126350146103633301
oct11303514032511150
91537718606652106
10330104214033000
11961aa458027a80
12310344a9459120
1311226903403944
145b731b478d7a8
152826b7c7c4ba0
hex12c3a606a9268

330104214033000 has 128 divisors (see below), whose sum is σ = 1123554706784640. Its totient is φ = 80025264000000.

The previous prime is 330104214032969. The next prime is 330104214033029. The reversal of 330104214033000 is 330412401033.

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

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, 5001546001 + ... + 5001612000.

It is an arithmetic number, because the mean of its divisors is an integer number (8777771146755).

Almost surely, 2330104214033000 is an apocalyptic number.

330104214033000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330104214033000 is an abundant number, since it is smaller than the sum of its proper divisors (793450492751640).

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

330104214033000 is a wasteful number, since it uses less digits than its factorization.

330104214033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003158036 (or 10003158022 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330104214033000 its reverse (330412401033), we get a palindrome (330434626434033).

The spelling of 330104214033000 in words is "three hundred thirty trillion, one hundred four billion, two hundred fourteen million, thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 10003158001 20006316002 30009474003 40012632004 50015790005 60018948006 80025264008 100031580010 110034738011 120037896012 150047370015 200063160020 220069476022 240075792024 250078950025 300094740030 330104214033 400126320040 440138952044 500157900050 550173690055 600189480060 660208428066 750236850075 880277904088 1000315800100 1100347380110 1200378960120 1250394750125 1320416856132 1500473700150 1650521070165 2000631600200 2200694760220 2500789500250 2640833712264 2750868450275 3000947400300 3301042140330 3751184250375 4401389520440 5001579000500 5501736900550 6001894800600 6602084280660 7502368500750 8252605350825 10003158001000 11003473801100 13204168561320 13754342251375 15004737001500 16505210701650 22006947602200 27508684502750 30009474003000 33010421403300 41263026754125 55017369005500 66020842806600 82526053508250 110034738011000 165052107016500 330104214033000