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1123200230320 = 2457386347431
BaseRepresentation
bin10000010110000011111…
…100110110001110110000
310222101011202101120200101
4100112003330312032300
5121400303224332240
62215554023002144
7144101643301000
oct20260374661660
93871152346611
101123200230320
113a338a280463
12161825599354
1381bc04a24cc
143c5127d8000
151e33c66339a
hex10583f363b0

1123200230320 has 160 divisors (see below), whose sum is σ = 3049004851200. Its totient is φ = 384642881280.

The previous prime is 1123200230303. The next prime is 1123200230357. The reversal of 1123200230320 is 230320023211.

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, 23657005 + ... + 23704435.

It is an arithmetic number, because the mean of its divisors is an integer number (19056280320).

Almost surely, 21123200230320 is an apocalyptic number.

1123200230320 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 1123200230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524502425600).

1123200230320 is an abundant number, since it is smaller than the sum of its proper divisors (1925804620880).

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

1123200230320 is an equidigital number, since it uses as much as digits as its factorization.

1123200230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48328 (or 48308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1123200230320 its reverse (230320023211), we get a palindrome (1353520253531).

The spelling of 1123200230320 in words is "one trillion, one hundred twenty-three billion, two hundred million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 863 980 1372 1715 1726 1960 2744 3430 3452 3920 4315 5488 6041 6860 6904 8630 12082 13720 13808 17260 24164 27440 30205 34520 42287 47431 48328 60410 69040 84574 94862 96656 120820 169148 189724 211435 237155 241640 296009 332017 338296 379448 422870 474310 483280 592018 664034 676592 758896 845740 948620 1184036 1328068 1480045 1660085 1691480 1897240 2324119 2368072 2656136 2960090 3320170 3382960 3794480 4648238 4736144 5312272 5920180 6640340 9296476 11620595 11840360 13280680 16268833 18592952 23241190 23680720 26561360 32537666 37185904 40932953 46482380 65075332 81344165 81865906 92964760 130150664 162688330 163731812 185929520 204664765 260301328 286530671 325376660 327463624 409329530 573061342 650753320 654927248 818659060 1146122684 1301506640 1432653355 1637318120 2005714697 2292245368 2865306710 3274636240 4011429394 4584490736 5730613420 8022858788 10028573485 11461226840 14040002879 16045717576 20057146970 22922453680 28080005758 32091435152 40114293940 56160011516 70200014395 80228587880 112320023032 140400028790 160457175760 224640046064 280800057580 561600115160 1123200230320