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230212113300 = 2232521319676249
BaseRepresentation
bin1101011001100110110…
…1100001001110010100
3211000012212201001121200
43112121231201032110
512232433300111200
6253431420312500
722426604450661
oct3263155411624
9730185631550
10230212113300
11896a5811084
12387496a2730
131892a61ccb0
14b1dc782a68
155ec59eb800
hex3599b61394

230212113300 has 108 divisors (see below), whose sum is σ = 777093817500. Its totient is φ = 56667594240.

The previous prime is 230212113269. The next prime is 230212113359. The reversal of 230212113300 is 3311212032.

230212113300 is a `hidden beast` number, since 230 + 2 + 121 + 13 + 300 = 666.

230212113300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25041163536 + 205170949764 = 158244^2 + 452958^2 .

It is a super-2 number, since 2×2302121133002 (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 a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9826425 + ... + 9849824.

It is an arithmetic number, because the mean of its divisors is an integer number (7195313125).

Almost surely, 2230212113300 is an apocalyptic number.

230212113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230212113300 is an abundant number, since it is smaller than the sum of its proper divisors (546881704200).

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

230212113300 is a wasteful number, since it uses less digits than its factorization.

230212113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19676282 (or 19676272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230212113300 its reverse (3311212032), we get a palindrome (233523325332).

The spelling of 230212113300 in words is "two hundred thirty billion, two hundred twelve million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 19676249 39352498 59028747 78704996 98381245 118057494 177086241 196762490 236114988 255791237 295143735 354172482 393524980 491906225 511582474 590287470 708344964 767373711 885431205 983812450 1023164948 1180574940 1278956185 1475718675 1534747422 1770862410 1967624900 2302121133 2557912370 2951437350 3069494844 3541724820 3836868555 4427156025 4604242266 5115824740 5902874700 6394780925 7673737110 8854312050 9208484532 11510605665 12789561850 15347474220 17708624100 19184342775 23021211330 25579123700 38368685550 46042422660 57553028325 76737371100 115106056650 230212113300