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10332312330 = 23512712312203
BaseRepresentation
bin10011001111101101…
…01001001100001010
3222200002001211221110
421213312221030022
5132130032443310
64425133151150
7514021130364
oct114766511412
928602054843
1010332312330
1144223591aa
12200432b4b6
13c887bc8a2
14700347d34
15407150d20
hex267da930a

10332312330 has 64 divisors (see below), whose sum is σ = 25024462848. Its totient is φ = 2730127680.

The previous prime is 10332312329. The next prime is 10332312349. The reversal of 10332312330 is 3321323301.

10332312330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10332312297 and 10332312306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4689009 + ... + 4691211.

It is an arithmetic number, because the mean of its divisors is an integer number (391007232).

Almost surely, 210332312330 is an apocalyptic number.

10332312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10332312330 is an abundant number, since it is smaller than the sum of its proper divisors (14692150518).

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

10332312330 is a wasteful number, since it uses less digits than its factorization.

10332312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10332312330 its reverse (3321323301), we get a palindrome (13653635631).

The spelling of 10332312330 in words is "ten billion, three hundred thirty-two million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 127 254 381 635 762 1231 1270 1905 2203 2462 3693 3810 4406 6155 6609 7386 11015 12310 13218 18465 22030 33045 36930 66090 156337 279781 312674 469011 559562 781685 839343 938022 1398905 1563370 1678686 2345055 2711893 2797810 4196715 4690110 5423786 8135679 8393430 13559465 16271358 27118930 40678395 81356790 344410411 688820822 1033231233 1722052055 2066462466 3444104110 5166156165 10332312330