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2023112113200 = 243252561975587
BaseRepresentation
bin11101011100001010111…
…000001111110000110000
321011102000011100211221200
4131130022320033300300
5231121313200110300
64145223241451200
7266110414140213
oct35341270176060
97142004324850
102023112113200
1170aaa7055592
122881141a0b00
13118a179186b9
146dcc220377a
153795c086200
hex1d70ae0fc30

2023112113200 has 90 divisors (see below), whose sum is σ = 7020761020884. Its totient is φ = 539496562560.

The previous prime is 2023112113199. The next prime is 2023112113219. The reversal of 2023112113200 is 23112113202.

2023112113200 is a `hidden beast` number, since 20 + 2 + 311 + 2 + 11 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×20231121132002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 280984194 + ... + 280991393.

Almost surely, 22023112113200 is an apocalyptic number.

2023112113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023112113200 is an abundant number, since it is smaller than the sum of its proper divisors (4997648907684).

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

2023112113200 is a wasteful number, since it uses less digits than its factorization.

2023112113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561975611 (or 561975597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2023112113200 its reverse (23112113202), we get a palindrome (2046224226402).

It can be divided in two parts, 2023112 and 113200, that added together give a palindrome (2136312).

The spelling of 2023112113200 in words is "two trillion, twenty-three billion, one hundred twelve million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 561975587 1123951174 1685926761 2247902348 2809877935 3371853522 4495804696 5057780283 5619755870 6743707044 8429633805 8991609392 10115560566 11239511740 13487414088 14049389675 16859267610 20231121132 22479023480 25288901415 26974828176 28098779350 33718535220 40462242264 42148169025 44958046960 50577802830 56197558700 67437070440 80924484528 84296338050 101155605660 112395117400 126444507075 134874140880 168592676100 202311211320 224790234800 252889014150 337185352200 404622422640 505778028300 674370704400 1011556056600 2023112113200