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3320133120 = 29325144103
BaseRepresentation
bin1100010111100101…
…0011011000000000
322120101102020102100
43011321103120000
523244423224440
61305241550400
7145163444253
oct30571233000
98511366370
103320133120
111454146177
12787aa5400
1340bb11215
14236d3b09a
1514672d230
hexc5e53600

3320133120 has 120 divisors (see below), whose sum is σ = 11498634576. Its totient is φ = 885362688.

The previous prime is 3320133119. The next prime is 3320133143. The reversal of 3320133120 is 213310233.

3320133120 is a `hidden beast` number, since 332 + 0 + 1 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33201331202 = 22046567869041868800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3320133093 and 3320133102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49012 + ... + 95091.

Almost surely, 23320133120 is an apocalyptic number.

3320133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320133120 is an abundant number, since it is smaller than the sum of its proper divisors (8178501456).

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

3320133120 is a wasteful number, since it uses less digits than its factorization.

3320133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144132 (or 144113 counting only the distinct ones).

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

The square root of 3320133120 is about 57620.5963176363. The cubic root of 3320133120 is about 1491.8271236039.

Adding to 3320133120 its reverse (213310233), we get a palindrome (3533443353).

The spelling of 3320133120 in words is "three billion, three hundred twenty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 144103 288206 432309 576412 720515 864618 1152824 1296927 1441030 1729236 2161545 2305648 2593854 2882060 3458472 4323090 4611296 5187708 5764120 6484635 6916944 8646180 9222592 10375416 11528240 12969270 13833888 17292360 18445184 20750832 23056480 25938540 27667776 34584720 36890368 41501664 46112960 51877080 55335552 69169440 73780736 83003328 92225920 103754160 110671104 138338880 166006656 184451840 207508320 221342208 276677760 332013312 368903680 415016640 553355520 664026624 830033280 1106711040 1660066560 3320133120