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230223322313100 = 22335285267897153
BaseRepresentation
bin110100010110001100001011…
…010110000111000110001100
31010012011010122011122202121000
4310112030023112013012030
5220133434331003004400
62133351044552540300
766331041355241664
oct6426141326070614
91105133564582530
10230223322313100
11673a1187599626
12219a29a49b1690
139b5cc737ba45c
1440bcc226c11a4
151b93984a67600
hexd1630b58718c

230223322313100 has 72 divisors (see below), whose sum is σ = 740125347296720. Its totient is φ = 61392885949440.

The previous prime is 230223322313063. The next prime is 230223322313141. The reversal of 230223322313100 is 1313223322032.

230223322313100 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 2 + 332 + 2 + 313 + 10 + 0 = 666.

It is a super-2 number, since 2×2302233223131002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42633945877 + ... + 42633951276.

Almost surely, 2230223322313100 is an apocalyptic number.

230223322313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230223322313100 is an abundant number, since it is smaller than the sum of its proper divisors (509902024983620).

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

230223322313100 is a wasteful number, since it uses less digits than its factorization.

230223322313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85267897176 (or 85267897163 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230223322313100 its reverse (1313223322032), we get a palindrome (231536545635132).

The spelling of 230223322313100 in words is "two hundred thirty trillion, two hundred twenty-three billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 85267897153 170535794306 255803691459 341071588612 426339485765 511607382918 767411074377 852678971530 1023214765836 1279018457295 1534822148754 1705357943060 2131697428825 2302233223131 2558036914590 3069644297508 3837055371885 4263394857650 4604466446262 5116073829180 6395092286475 7674110743770 8526789715300 9208932892524 11511166115655 12790184572950 15348221487540 19185276859425 23022332231310 25580369145900 38370553718850 46044664462620 57555830578275 76741107437700 115111661156550 230223322313100