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1221032302320 = 243519348135477
BaseRepresentation
bin10001110001001011001…
…100100101011011110000
311022201200211200202210110
4101301023030211123300
5130001133232133240
62332533503501320
7154134214215465
oct21611314453360
94281624622713
101221032302320
114309229a2126
121787892b7840
138b1b1acc6cc
144315396966c
1521b663b8c80
hex11c4b3256f0

1221032302320 has 160 divisors (see below), whose sum is σ = 3806297934912. Its totient is φ = 323795091456.

The previous prime is 1221032302271. The next prime is 1221032302349. The reversal of 1221032302320 is 232032301221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222935422 + ... + 222940898.

Almost surely, 21221032302320 is an apocalyptic number.

1221032302320 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 1221032302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903148967456).

1221032302320 is an abundant number, since it is smaller than the sum of its proper divisors (2585265632592).

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

1221032302320 is a wasteful number, since it uses less digits than its factorization.

1221032302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1221032302320 its reverse (232032301221), we get a palindrome (1453064603541).

The spelling of 1221032302320 in words is "one trillion, two hundred twenty-one billion, thirty-two million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 4813 5477 5790 7720 9264 9626 10954 11580 14439 15440 16431 19252 21908 23160 24065 27385 28878 32862 38504 43816 46320 48130 54770 57756 65724 72195 77008 82155 87632 96260 109540 115512 131448 144390 164310 192520 219080 231024 262896 288780 328620 385040 438160 577560 657240 928909 1057061 1155120 1314480 1857818 2114122 2786727 3171183 3715636 4228244 4644545 5285305 5573454 6342366 7431272 8456488 9289090 10570610 11146908 12684732 13933635 14862544 15855915 16912976 18578180 21141220 22293816 25369464 26360801 27867270 31711830 37156360 42282440 44587632 50738928 52721602 55734540 63423660 74312720 79082403 84564880 105443204 111469080 126847320 131804005 158164806 210886408 222938160 253694640 263608010 316329612 395412015 421772816 527216020 632659224 790824030 1054432040 1265318448 1581648060 2108864080 3163296120 5087634593 6326592240 10175269186 15262903779 20350538372 25438172965 30525807558 40701076744 50876345930 61051615116 76314518895 81402153488 101752691860 122103230232 152629037790 203505383720 244206460464 305258075580 407010767440 610516151160 1221032302320