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12410820930 = 23517231058041
BaseRepresentation
bin10111000111011111…
…00001100101000010
31012000221011000201110
423203233201211002
5200404132232210
65411302544150
7616360144254
oct134357414502
935027130643
1012410820930
115299648502
1224a4438056
13122a2c4531
1485a3dbcd4
154c9870420
hex2e3be1942

12410820930 has 64 divisors (see below), whose sum is σ = 32909338368. Its totient is φ = 2979440640.

The previous prime is 12410820899. The next prime is 12410820937. The reversal of 12410820930 is 3902801421.

12410820930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12410820937) by changing a digit.

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, 517291 + ... + 540750.

It is an arithmetic number, because the mean of its divisors is an integer number (514208412).

Almost surely, 212410820930 is an apocalyptic number.

12410820930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12410820930 is an abundant number, since it is smaller than the sum of its proper divisors (20498517438).

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

12410820930 is a wasteful number, since it uses less digits than its factorization.

12410820930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058091.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12410820930 in words is "twelve billion, four hundred ten million, eight hundred twenty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 3910 5865 11730 1058041 2116082 3174123 5290205 6348246 10580410 15870615 17986697 24334943 31741230 35973394 48669886 53960091 73004829 89933485 107920182 121674715 146009658 179866970 243349430 269800455 365024145 413694031 539600910 730048290 827388062 1241082093 2068470155 2482164186 4136940310 6205410465 12410820930