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2023010311200 = 253522803300721
BaseRepresentation
bin11101011100000100110…
…011111001110000100000
321011101202001210202212020
4131130010303321300200
5231121111114424300
64145205203501440
7266105036631324
oct35340463716040
97141661722766
102023010311200
1170aa546431aa
122880a6087880
131189cc7c3928
146dcb28a3984
15379531778a0
hex1d704cf9c20

2023010311200 has 144 divisors (see below), whose sum is σ = 6587269700256. Its totient is φ = 539275161600.

The previous prime is 2023010311139. The next prime is 2023010311237. The reversal of 2023010311200 is 21130103202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023010311200.

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 23 ways as a sum of consecutive naturals, for example, 6576840 + ... + 6877560.

It is an arithmetic number, because the mean of its divisors is an integer number (45744928474).

Almost surely, 22023010311200 is an apocalyptic number.

2023010311200 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 2023010311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293634850128).

2023010311200 is an abundant number, since it is smaller than the sum of its proper divisors (4564259389056).

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

2023010311200 is a wasteful number, since it uses less digits than its factorization.

2023010311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303547 (or 303534 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2023010311200 its reverse (21130103202), we get a palindrome (2044140414402).

The spelling of 2023010311200 in words is "two trillion, twenty-three billion, ten million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 2803 5606 8409 11212 14015 16818 22424 28030 33636 42045 44848 56060 67272 70075 84090 89696 112120 134544 140150 168180 210225 224240 269088 280300 300721 336360 420450 448480 560600 601442 672720 840900 902163 1121200 1202884 1345440 1503605 1681800 1804326 2242400 2405768 3007210 3363600 3608652 4510815 4811536 6014420 6727200 7217304 7518025 9021630 9623072 12028840 14434608 15036050 18043260 22554075 24057680 28869216 30072100 36086520 45108150 48115360 60144200 72173040 90216300 120288400 144346080 180432600 240576800 360865200 721730400 842920963 1685841926 2528762889 3371683852 4214604815 5057525778 6743367704 8429209630 10115051556 12643814445 13486735408 16858419260 20230103112 21073024075 25287628890 26973470816 33716838520 40460206224 42146048150 50575257780 63219072225 67433677040 80920412448 84292096300 101150515560 126438144450 134867354080 168584192600 202301031120 252876288900 337168385200 404602062240 505752577800 674336770400 1011505155600 2023010311200