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10332311340 = 223513171941011
BaseRepresentation
bin10011001111101101…
…01000111100101100
3222200002001210120210
421213312220330230
5132130032430330
64425133142420
7514021124451
oct114766507454
928602053523
1010332311340
11442235848a
12200432aa10
13c887bc2c0
14700347828
154071508b0
hex267da8f2c

10332311340 has 192 divisors, whose sum is σ = 34725680640. Its totient is φ = 2267688960.

The previous prime is 10332311293. The next prime is 10332311369. The reversal of 10332311340 is 4311323301.

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, 231435 + ... + 272445.

It is an arithmetic number, because the mean of its divisors is an integer number (180862920).

Almost surely, 210332311340 is an apocalyptic number.

10332311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362840320).

10332311340 is an abundant number, since it is smaller than the sum of its proper divisors (24393369300).

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

10332311340 is a wasteful number, since it uses less digits than its factorization.

10332311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41072 (or 41070 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10332311340 its reverse (4311323301), we get a palindrome (14643634641).

The spelling of 10332311340 in words is "ten billion, three hundred thirty-two million, three hundred eleven thousand, three hundred forty".