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2023003223320 = 23567219795693
BaseRepresentation
bin11101011100000100011…
…000110111010100011000
321011101201120110200010011
4131130010120313110120
5231121102311121240
64145204351531304
7266104622451052
oct35340430672430
97141646420104
102023003223320
1170aa50641a52
122880a3829b34
131189cb1b1711
146dcb197a8d2
15379527276ea
hex1d704637518

2023003223320 has 96 divisors (see below), whose sum is σ = 4623854835600. Its totient is φ = 796580919552.

The previous prime is 2023003223299. The next prime is 2023003223323. The reversal of 2023003223320 is 233223003202.

It is a junction number, because it is equal to n+sod(n) for n = 2023003223291 and 2023003223300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023003223323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 355346394 + ... + 355352086.

Almost surely, 22023003223320 is an apocalyptic number.

2023003223320 is a gapful number since it is divisible by the number (20) 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 2023003223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311927417800).

2023003223320 is an abundant number, since it is smaller than the sum of its proper divisors (2600851612280).

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

2023003223320 is a wasteful number, since it uses less digits than its factorization.

2023003223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 2023003223320 its reverse (233223003202), we get a palindrome (2256226226522).

The spelling of 2023003223320 in words is "two trillion, twenty-three billion, three million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 1979 2680 3958 4489 5693 7916 8978 9895 11386 15832 17956 19790 22445 22772 28465 35912 39580 44890 45544 56930 79160 89780 113860 132593 179560 227720 265186 381431 530372 662965 762862 1060744 1325930 1525724 1907155 2651860 3051448 3814310 5303720 7628620 8883731 11266447 15257240 17767462 22532894 25555877 35534924 44418655 45065788 51111754 56332235 71069848 88837310 90131576 102223508 112664470 127779385 177674620 204447016 225328940 255558770 355349240 450657880 511117540 754851949 1022235080 1509703898 3019407796 3774259745 6038815592 7548519490 15097038980 30194077960 50575080583 101150161166 202300322332 252875402915 404600644664 505750805830 1011501611660 2023003223320