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230133120300 = 22335285234489
BaseRepresentation
bin1101011001010100000…
…0001011110100101100
3211000000101001210121000
43112111000023310230
512232303034322200
6253415515240300
722424625150456
oct3262500136454
9730011053530
10230133120300
1189665168506
1238727149090
1318917153085
14b1d209d2d6
155ebdae6300
hex359500bd2c

230133120300 has 72 divisors (see below), whose sum is σ = 739835373200. Its totient is φ = 61368831360.

The previous prime is 230133120233. The next prime is 230133120319. The reversal of 230133120300 is 3021331032.

230133120300 is a `hidden beast` number, since 2 + 30 + 1 + 331 + 2 + 0 + 300 = 666.

It is a super-2 number, since 2×2301331203002 (a number of 24 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42614545 + ... + 42619944.

Almost surely, 2230133120300 is an apocalyptic number.

230133120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230133120300 is an abundant number, since it is smaller than the sum of its proper divisors (509702252900).

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

230133120300 is a wasteful number, since it uses less digits than its factorization.

230133120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85234512 (or 85234499 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230133120300 its reverse (3021331032), we get a palindrome (233154451332).

The spelling of 230133120300 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred twenty thousand, three 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 85234489 170468978 255703467 340937956 426172445 511406934 767110401 852344890 1022813868 1278517335 1534220802 1704689780 2130862225 2301331203 2557034670 3068441604 3835552005 4261724450 4602662406 5114069340 6392586675 7671104010 8523448900 9205324812 11506656015 12785173350 15342208020 19177760025 23013312030 25570346700 38355520050 46026624060 57533280075 76711040100 115066560150 230133120300