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1130003302320 = 243355031040059
BaseRepresentation
bin10000011100011001011…
…100100000011110110000
311000000201212120110001000
4100130121130200132300
5122003221321133240
62223041044242000
7144432351406104
oct20343134403660
94000655513030
101130003302320
113a6260450112
121630039a0300
1382735a584b9
143c99a131904
151e5d9a2d430
hex107197207b0

1130003302320 has 160 divisors (see below), whose sum is σ = 3899975385600. Its totient is φ = 300734850816.

The previous prime is 1130003302297. The next prime is 1130003302331. The reversal of 1130003302320 is 232033000311.

1130003302320 is a `hidden beast` number, since 1 + 1 + 300 + 0 + 330 + 2 + 32 + 0 = 666.

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 = 1130003302293 and 1130003302302.

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, 566451 + ... + 1606509.

It is an arithmetic number, because the mean of its divisors is an integer number (24374846160).

Almost surely, 21130003302320 is an apocalyptic number.

1130003302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130003302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949987692800).

1130003302320 is an abundant number, since it is smaller than the sum of its proper divisors (2769972083280).

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

1130003302320 is a wasteful number, since it uses less digits than its factorization.

1130003302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040584 (or 1040572 counting only the distinct ones).

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

Adding to 1130003302320 its reverse (232033000311), we get a palindrome (1362036302631).

The spelling of 1130003302320 in words is "one trillion, one hundred thirty billion, three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 503 540 720 1006 1080 1509 2012 2160 2515 3018 4024 4527 5030 6036 7545 8048 9054 10060 12072 13581 15090 18108 20120 22635 24144 27162 30180 36216 40240 45270 54324 60360 67905 72432 90540 108648 120720 135810 181080 217296 271620 362160 543240 1040059 1086480 2080118 3120177 4160236 5200295 6240354 8320472 9360531 10400590 12480708 15600885 16640944 18721062 20801180 24961416 28081593 31201770 37442124 41602360 46802655 49922832 56163186 62403540 74884248 83204720 93605310 112326372 124807080 140407965 149768496 187210620 224652744 249614160 280815930 374421240 449305488 523149677 561631860 748842480 1046299354 1123263720 1569449031 2092598708 2246527440 2615748385 3138898062 4185197416 4708347093 5231496770 6277796124 7847245155 8370394832 9416694186 10462993540 12555592248 14125041279 15694490310 18833388372 20925987080 23541735465 25111184496 28250082558 31388980620 37666776744 41851974160 47083470930 56500165116 62777961240 70625206395 75333553488 94166941860 113000330232 125555922480 141250412790 188333883720 226000660464 282500825580 376667767440 565001651160 1130003302320