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230002231131342 = 232176537043163433
BaseRepresentation
bin110100010010111110010001…
…010010001011110011001110
31010011100222221221121000212200
4310102332101102023303032
5220121324032132200332
62133101322153342330
766306053462223105
oct6422762122136316
91104328857530780
10230002231131342
11673164423673aa
1221967b81a079a6
139b4516aa0c697
1440b224b43303c
151b8cd44b8417c
hexd12f9148bcce

230002231131342 has 96 divisors (see below), whose sum is σ = 528538487806368. Its totient is φ = 72036390709248.

The previous prime is 230002231131341. The next prime is 230002231131373. The reversal of 230002231131342 is 243131132200032.

230002231131342 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 0 + 2 + 2 + 311 + 3 + 1 + 342 = 666.

230002231131342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230002231131341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407236458 + ... + 1407399890.

It is an arithmetic number, because the mean of its divisors is an integer number (5505609247983).

Almost surely, 2230002231131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230002231131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264269243903184).

230002231131342 is an abundant number, since it is smaller than the sum of its proper divisors (298536256675026).

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

230002231131342 is a wasteful number, since it uses less digits than its factorization.

230002231131342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171154 (or 171151 counting only the distinct ones).

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

Adding to 230002231131342 its reverse (243131132200032), we get a palindrome (473133363331374).

The spelling of 230002231131342 in words is "two hundred thirty trillion, two billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 653 1306 1959 3918 5877 7043 11101 11754 14086 21129 22202 33303 42258 63387 66606 99909 119731 126774 163433 199818 239462 326866 359193 490299 718386 980598 1077579 1470897 2155158 2778361 2941794 4599079 5556722 8335083 9198158 13797237 16670166 25005249 27594474 41391711 50010498 78184343 82783422 106721749 156368686 213443498 234553029 320165247 469106058 640330494 703659087 960495741 1151058619 1407318174 1814269733 1920991482 2302117238 3453175857 3628539466 5442809199 6906351714 10359527571 10885618398 16328427597 19567996523 20719055142 32656855194 39135993046 58703989569 117407979138 176111968707 352223937414 751641278207 1503282556414 2254923834621 4509847669242 6764771503863 12777901729519 13529543007726 25555803459038 38333705188557 76667410377114 115001115565671 230002231131342