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330134234100 = 223521129094607
BaseRepresentation
bin1001100110111011000…
…10001010001111110100
31011120010121210201200120
410303131202022033310
520402103330442400
6411354522211540
732565014455266
oct4633542121764
91146117721616
10330134234100
11118011194400
1253b95353bb0
1325192c62768
1411d9b32db36
1588c2ea0ca0
hex4cdd88a3f4

330134234100 has 108 divisors (see below), whose sum is σ = 1049917925952. Its totient is φ = 80032532800.

The previous prime is 330134234077. The next prime is 330134234173. The reversal of 330134234100 is 1432431033.

It is a super-2 number, since 2×3301342341002 (a number of 24 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 35 ways as a sum of consecutive naturals, for example, 4511004 + ... + 4583603.

Almost surely, 2330134234100 is an apocalyptic number.

330134234100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330134234100 is an abundant number, since it is smaller than the sum of its proper divisors (719783691852).

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

330134234100 is a wasteful number, since it uses less digits than its factorization.

330134234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9094646 (or 9094628 counting only the distinct ones).

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

Adding to 330134234100 its reverse (1432431033), we get a palindrome (331566665133).

The spelling of 330134234100 in words is "three hundred thirty billion, one hundred thirty-four million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 9094607 18189214 27283821 36378428 45473035 54567642 90946070 100040677 109135284 136419105 181892140 200081354 227365175 272838210 300122031 400162708 454730350 500203385 545676420 600244062 682095525 909460700 1000406770 1100447447 1200488124 1364191050 1500610155 2000813540 2200894894 2501016925 2728382100 3001220310 3301342341 4401789788 5002033850 5502237235 6002440620 6602684682 7503050775 10004067700 11004474470 13205369364 15006101550 16506711705 22008948940 27511186175 30012203100 33013423410 55022372350 66026846820 82533558525 110044744700 165067117050 330134234100