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230230322100 = 2232521371867237
BaseRepresentation
bin1101011001101011001…
…0111110101110110100
3211000021010222011101200
43112122302332232310
512233002430301400
6253433310452500
722430215306602
oct3263262765664
9730233864350
10230230322100
1189705018679
1238753804130
131893132702c
14b200d62872
155ec73e6b00
hex359acbebb4

230230322100 has 108 divisors (see below), whose sum is σ = 726912018924. Its totient is φ = 60946583040.

The previous prime is 230230321999. The next prime is 230230322111. The reversal of 230230322100 is 1223032032.

It is a happy number.

230230322100 is a `hidden beast` number, since 2 + 302 + 30 + 322 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3770451216 + 226459870884 = 61404^2 + 475878^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 810319 + ... + 1056918.

Almost surely, 2230230322100 is an apocalyptic number.

230230322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230230322100 is an abundant number, since it is smaller than the sum of its proper divisors (496681696824).

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

230230322100 is a wasteful number, since it uses less digits than its factorization.

230230322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867394 (or 1867384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230230322100 its reverse (1223032032), we get a palindrome (231453354132).

The spelling of 230230322100 in words is "two hundred thirty billion, two hundred thirty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 137 150 180 225 274 300 411 450 548 685 822 900 1233 1370 1644 2055 2466 2740 3425 4110 4932 6165 6850 8220 10275 12330 13700 20550 24660 30825 41100 61650 123300 1867237 3734474 5601711 7468948 9336185 11203422 16805133 18672370 22406844 28008555 33610266 37344740 46680925 56017110 67220532 84025665 93361850 112034220 140042775 168051330 186723700 255811469 280085550 336102660 420128325 511622938 560171100 767434407 840256650 1023245876 1279057345 1534868814 1680513300 2302303221 2558114690 3069737628 3837172035 4604606442 5116229380 6395286725 7674344070 9209212884 11511516105 12790573450 15348688140 19185860175 23023032210 25581146900 38371720350 46046064420 57557580525 76743440700 115115161050 230230322100