Search a number
-
+
232110344130 = 235729257148301
BaseRepresentation
bin1101100000101011011…
…0101100011111000010
3211012010011120011210020
43120022312230133002
512300330222003010
6254344030114310
722524624241440
oct3301266543702
9735104504706
10232110344130
118a48a268a95
1238b9934b996
1318b709844c2
14b33c909b90
1560874aa470
hex360adac7c2

232110344130 has 128 divisors (see below), whose sum is σ = 661165908480. Its totient is φ = 51024691200.

The previous prime is 232110344117. The next prime is 232110344189. The reversal of 232110344130 is 31443011232.

It is a happy number.

232110344130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232110344130.

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 63 ways as a sum of consecutive naturals, for example, 1490980 + ... + 1639280.

It is an arithmetic number, because the mean of its divisors is an integer number (5165358660).

Almost surely, 2232110344130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232110344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330582954240).

232110344130 is an abundant number, since it is smaller than the sum of its proper divisors (429055564350).

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

232110344130 is a wasteful number, since it uses less digits than its factorization.

232110344130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148604.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232110344130 its reverse (31443011232), we get a palindrome (263553355362).

The spelling of 232110344130 in words is "two hundred thirty-two billion, one hundred ten million, three hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 257 290 406 435 514 609 771 870 1015 1218 1285 1542 1799 2030 2570 3045 3598 3855 5397 6090 7453 7710 8995 10794 14906 17990 22359 26985 37265 44718 52171 53970 74530 104342 111795 148301 156513 223590 260855 296602 313026 444903 521710 741505 782565 889806 1038107 1483010 1565130 2076214 2224515 3114321 4300729 4449030 5190535 6228642 8601458 10381070 12902187 15571605 21503645 25804374 30105103 31143210 38113357 43007290 60210206 64510935 76226714 90315309 114340071 129021870 150525515 180630618 190566785 228680142 266793499 301051030 381133570 451576545 533586998 571700355 800380497 903153090 1105287353 1143400710 1333967495 1600760994 2210574706 2667934990 3315862059 4001902485 5526436765 6631724118 7737011471 8003804970 11052873530 15474022942 16579310295 23211034413 33158620590 38685057355 46422068826 77370114710 116055172065 232110344130