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230302113302412 = 2232176432307125367
BaseRepresentation
bin110100010111010101100011…
…101001111000011110001100
31010012102200000020210201201100
4310113111203221320132030
5220141232212001134122
62133451155201143100
766336531026506044
oct6427254351703614
91105380006721640
10230302113302412
1167421639aa5018
12219b611392aa90
139b6751c2c4618
1440c2978a62724
151b95a46d1aaac
hexd17563a7878c

230302113302412 has 144 divisors (see below), whose sum is σ = 617406556096512. Its totient is φ = 72133306375680.

The previous prime is 230302113302381. The next prime is 230302113302467. The reversal of 230302113302412 is 214203311203032.

230302113302412 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 0 + 211 + 3 + 30 + 2 + 412 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9078794953 + ... + 9078820319.

It is an arithmetic number, because the mean of its divisors is an integer number (4287545528448).

Almost surely, 2230302113302412 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 230302113302412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308703278048256).

230302113302412 is an abundant number, since it is smaller than the sum of its proper divisors (387104442794100).

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

230302113302412 is a wasteful number, since it uses less digits than its factorization.

230302113302412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49108 (or 49103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230302113302412 its reverse (214203311203032), we get a palindrome (444505424505444).

The spelling of 230302113302412 in words is "two hundred thirty trillion, three hundred two billion, one hundred thirteen million, three hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 643 1286 1929 2572 3858 5787 7716 10931 11574 21862 23071 23148 25367 32793 43724 46142 50734 65586 69213 76101 92284 98379 101468 131172 138426 152202 196758 207639 228303 276852 304404 392207 393516 415278 431239 456606 784414 830556 862478 913212 1176621 1293717 1568828 1724956 2353242 2587434 3529863 3881151 4706484 5174868 7059726 7762302 14119452 14834653 15524604 16310981 29669306 32621962 44503959 48932943 59338612 65243924 89007918 97865886 133511877 146798829 178015836 195731772 252189101 267023754 277286677 293597658 504378202 534047508 554573354 585242057 587195316 756567303 831860031 1008756404 1109146708 1170484114 1513134606 1663720062 1755726171 2269701909 2340968228 2495580093 3026269212 3327440124 3511452342 4539403818 4991160186 5267178513 7022904684 9078807636 9949114969 9982320372 10534357026 19898229938 21068714052 29847344907 39796459876 59694689814 89542034721 119389379628 179084069442 358168138884 376310642651 752621285302 1128931927953 1505242570604 2257863855906 3386795783859 4515727711812 6397280925067 6773591567718 12794561850134 13547183135436 19191842775201 25589123700268 38383685550402 57575528325603 76767371100804 115151056651206 230302113302412