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10334421133330 = 2571771122315317
BaseRepresentation
bin1001011001100010101110…
…0000000010100000010010
31100120221221120121000201111
42112120223200002200102
52323304343302231310
633551322330323534
72114431406153230
oct226305340024022
940527846530644
1010334421133330
113324892348248
1211aaa688895aa
1359c6bb2a1438
1427a28d935950
1512dc4e43b28a
hex9662b802812

10334421133330 has 64 divisors (see below), whose sum is σ = 22826973906432. Its totient is φ = 3287835694080.

The previous prime is 10334421133319. The next prime is 10334421133343. The reversal of 10334421133330 is 3333112443301.

It is a super-3 number, since 3×103344211333303 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10334421133292 and 10334421133301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61073169 + ... + 61242148.

It is an arithmetic number, because the mean of its divisors is an integer number (356671467288).

Almost surely, 210334421133330 is an apocalyptic number.

10334421133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10334421133330 is an abundant number, since it is smaller than the sum of its proper divisors (12492552773102).

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

10334421133330 is a wasteful number, since it uses less digits than its factorization.

10334421133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122315419.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 10334421133330 its reverse (3333112443301), we get a palindrome (13667533576631).

The spelling of 10334421133330 in words is "ten trillion, three hundred thirty-four billion, four hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 71 85 119 142 170 238 355 497 595 710 994 1190 1207 2414 2485 4970 6035 8449 12070 16898 42245 84490 122315317 244630634 611576585 856207219 1223153170 1712414438 2079360389 4158720778 4281036095 8562072190 8684387507 10396801945 14555522723 17368775014 20793603890 29111045446 43421937535 60790712549 72777613615 86843875070 121581425098 145555227230 147634587619 295269175238 303953562745 607907125490 738172938095 1033442113333 1476345876190 2066884226666 5167210566665 10334421133330