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330132132120 = 23357784150123
BaseRepresentation
bin1001100110111010110…
…10001001000100011000
31011120010110211221022110
410303131122021010120
520402102311211440
6411354405152320
732564660552130
oct4633532110430
91146113757273
10330132132120
1111800aa8912a
1253b946bb6a0
13251926a7a9b
1411d9ad43ac0
1588c2bd8080
hex4cdd689118

330132132120 has 128 divisors (see below), whose sum is σ = 1132048535040. Its totient is φ = 75447644160.

The previous prime is 330132132107. The next prime is 330132132133. The reversal of 330132132120 is 21231231033.

It is an interprime number because it is at equal distance from previous prime (330132132107) and next prime (330132132133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6561379 + ... + 6611501.

It is an arithmetic number, because the mean of its divisors is an integer number (8844129180).

Almost surely, 2330132132120 is an apocalyptic number.

330132132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330132132120 is an abundant number, since it is smaller than the sum of its proper divisors (801916402920).

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

330132132120 is a wasteful number, since it uses less digits than its factorization.

330132132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57985 (or 57981 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 330132132120 its reverse (21231231033), we get a palindrome (351363363153).

The spelling of 330132132120 in words is "three hundred thirty billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 7841 15682 23523 31364 39205 47046 50123 54887 62728 78410 94092 100246 109774 117615 150369 156820 164661 188184 200492 219548 235230 250615 274435 300738 313640 329322 350861 400984 439096 470460 501230 548870 601476 658644 701722 751845 823305 940920 1002460 1052583 1097740 1202952 1317288 1403444 1503690 1646610 1754305 2004920 2105166 2195480 2806888 3007380 3293220 3508610 4210332 5262915 6014760 6586440 7017220 8420664 10525830 14034440 21051660 42103320 393014443 786028886 1179043329 1572057772 1965072215 2358086658 2751101101 3144115544 3930144430 4716173316 5502202202 5895216645 7860288860 8253303303 9432346632 11004404404 11790433290 13755505505 15720577720 16506606606 22008808808 23580866580 27511011010 33013213212 41266516515 47161733160 55022022020 66026426424 82533033030 110044044040 165066066060 330132132120