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10330111104 = 27337727063
BaseRepresentation
bin10011001111011100…
…01111110010000000
3222122220221000102120
421213232033302000
5132124002023404
64425014044240
7513663331665
oct114756176200
928586830376
1010330111104
114421095405
122003649680
13c881cb9a1
146ddd33a6c
15406d689d9
hex267b8fc80

10330111104 has 64 divisors (see below), whose sum is σ = 28181000640. Its totient is φ = 3350301696.

The previous prime is 10330111091. The next prime is 10330111117. The reversal of 10330111104 is 40111103301.

10330111104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10330111091) and next prime (10330111117).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103301111042 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 349324 + ... + 377739.

It is an arithmetic number, because the mean of its divisors is an integer number (440328135).

Almost surely, 210330111104 is an apocalyptic number.

It is an amenable number.

10330111104 is an abundant number, since it is smaller than the sum of its proper divisors (17850889536).

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

10330111104 is an equidigital number, since it uses as much as digits as its factorization.

10330111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727117 (or 727105 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10330111104 its reverse (40111103301), we get a palindrome (50441214405).

The spelling of 10330111104 in words is "ten billion, three hundred thirty million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 727063 1454126 2181189 2908252 4362378 5816504 8724756 11633008 17449512 23266016 26901331 34899024 46532032 53802662 69798048 80703993 93064064 107605324 139596096 161407986 215210648 279192192 322815972 430421296 645631944 860842592 1291263888 1721685184 2582527776 3443370368 5165055552 10330111104