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1224201807330 = 2351923319874639
BaseRepresentation
bin10001110100001000000…
…111010010010111100010
311100000212201200022021220
4101310020013102113202
5130024131130313310
62334220205155510
7154305601446045
oct21641007222742
94300781608256
101224201807330
114321aa007157
1217931285bb96
138b598651b68
1443374896c5c
1521c9e791670
hex11d081d25e2

1224201807330 has 128 divisors (see below), whose sum is σ = 3108226867200. Its totient is φ = 307723359744.

The previous prime is 1224201807329. The next prime is 1224201807331. The reversal of 1224201807330 is 337081024221.

It is an interprime number because it is at equal distance from previous prime (1224201807329) and next prime (1224201807331).

It is a junction number, because it is equal to n+sod(n) for n = 1224201807291 and 1224201807300.

It is not an unprimeable number, because it can be changed into a prime (1224201807331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 263891151 + ... + 263895789.

It is an arithmetic number, because the mean of its divisors is an integer number (24283022400).

Almost surely, 21224201807330 is an apocalyptic number.

1224201807330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224201807330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554113433600).

1224201807330 is an abundant number, since it is smaller than the sum of its proper divisors (1884025059870).

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

1224201807330 is a wasteful number, since it uses less digits than its factorization.

1224201807330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888.

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1224201807330 in words is "one trillion, two hundred twenty-four billion, two hundred one million, eight hundred seven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 233 285 466 570 699 1165 1398 1987 2330 3495 3974 4427 4639 5961 6990 8854 9278 9935 11922 13281 13917 19870 22135 23195 26562 27834 29805 37753 44270 46390 59610 66405 69585 75506 88141 113259 132810 139170 176282 188765 226518 264423 377530 440705 462971 528846 566295 881410 925942 1080887 1132590 1322115 1388913 2161774 2314855 2644230 2777826 3242661 4629710 5404435 6485322 6944565 8796449 9217693 10808870 13889130 16213305 17592898 18435386 20536853 26389347 27653079 32426610 41073706 43982245 46088465 52778694 55306158 61610559 87964490 92176930 102684265 123221118 131946735 138265395 175136167 205368530 263893470 276530790 308052795 350272334 525408501 616105590 875680835 1050817002 1751361670 2147722469 2627042505 4295444938 5254085010 6443167407 10738612345 12886334814 21477224690 32215837035 40806726911 64431674070 81613453822 122420180733 204033634555 244840361466 408067269110 612100903665 1224201807330