Search a number
-
+
10232344123330 = 2571764879132533
BaseRepresentation
bin1001010011100110011100…
…1111001001011111000010
31100020012110122200122101111
42110321213033021133002
52320121320043421310
633432401325553534
72104156011662050
oct224714717113702
940205418618344
1010232344123330
11329557055685a
12119311b4158aa
13592ba13931c4
14275368ad11d0
1512b277bcb28a
hex94e673c97c2

10232344123330 has 64 divisors (see below), whose sum is σ = 22288104944640. Its totient is φ = 3301789860864.

The previous prime is 10232344123297. The next prime is 10232344123333. The reversal of 10232344123330 is 3332144323201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10232344123292 and 10232344123301.

It is not an unprimeable number, because it can be changed into a prime (10232344123333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77139744 + ... + 77272276.

It is an arithmetic number, because the mean of its divisors is an integer number (348251639760).

Almost surely, 210232344123330 is an apocalyptic number.

10232344123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10232344123330 is an abundant number, since it is smaller than the sum of its proper divisors (12055760821310).

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

10232344123330 is a wasteful number, since it uses less digits than its factorization.

10232344123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197443.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 10232344123330 its reverse (3332144323201), we get a palindrome (13564488446531).

The spelling of 10232344123330 in words is "ten trillion, two hundred thirty-two billion, three hundred forty-four million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 595 1190 64879 129758 132533 265066 324395 454153 648790 662665 908306 927731 1102943 1325330 1855462 2205886 2253061 2270765 4506122 4541530 4638655 5514715 7720601 9277310 11029430 11265305 15441202 15771427 22530610 31542854 38603005 77206010 78857135 157714270 8598608507 17197217014 42993042535 60190259549 85986085070 120380519098 146176344619 292352689238 300951297745 601902595490 730881723095 1023234412333 1461763446190 2046468824666 5116172061665 10232344123330