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230121312 = 25319791597
BaseRepresentation
bin11011011011101…
…01111101100000
3121001000101002120
431231311331200
5432402340222
634500144240
75462666421
oct1555657540
9531011076
10230121312
11108996603
1265098080
13388a2575
14227c3648
151530915c
hexdb75f60

230121312 has 96 divisors (see below), whose sum is σ = 644313600. Its totient is φ = 71705088.

The previous prime is 230121289. The next prime is 230121317. The reversal of 230121312 is 213121032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 230121291 and 230121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230121317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 143298 + ... + 144894.

It is an arithmetic number, because the mean of its divisors is an integer number (6711600).

Almost surely, 2230121312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322156800).

230121312 is an abundant number, since it is smaller than the sum of its proper divisors (414192288).

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

230121312 is a wasteful number, since it uses less digits than its factorization.

230121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 230121312 is about 15169.7498990590. The cubic root of 230121312 is about 612.8002688226.

Adding to 230121312 its reverse (213121032), we get a palindrome (443242344).

The spelling of 230121312 in words is "two hundred thirty million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1597 1824 1896 2528 3002 3194 3792 4503 4791 6004 6388 7584 9006 9582 12008 12776 18012 19164 24016 25552 30343 36024 38328 48032 51104 60686 72048 76656 91029 121372 126163 144096 153312 182058 242744 252326 364116 378489 485488 504652 728232 756978 970976 1009304 1456464 1513956 2018608 2397097 2912928 3027912 4037216 4794194 6055824 7191291 9588388 12111648 14382582 19176776 28765164 38353552 57530328 76707104 115060656 230121312