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10204403430 = 23513103925183
BaseRepresentation
bin10011000000011101…
…01101011011100110
3222100011101101220210
421200032231123212
5131344311402210
64404323440250
7510605666214
oct114016553346
928304341823
1010204403430
114367135371
121b89526086
13c68156b50
146cb36dcb4
153eacd6e20
hex2603ad6e6

10204403430 has 64 divisors (see below), whose sum is σ = 26400890880. Its totient is φ = 2509335936.

The previous prime is 10204403371. The next prime is 10204403453. The reversal of 10204403430 is 3430440201.

10204403430 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 = 10204403397 and 10204403406.

It is a congruent number.

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, 392619 + ... + 417801.

It is an arithmetic number, because the mean of its divisors is an integer number (412513920).

Almost surely, 210204403430 is an apocalyptic number.

10204403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10204403430 is an abundant number, since it is smaller than the sum of its proper divisors (16196487450).

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

10204403430 is a wasteful number, since it uses less digits than its factorization.

10204403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26245.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10204403430 its reverse (3430440201), we get a palindrome (13634843631).

The spelling of 10204403430 in words is "ten billion, two hundred four million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1039 2078 3117 5195 6234 10390 13507 15585 25183 27014 31170 40521 50366 67535 75549 81042 125915 135070 151098 202605 251830 327379 377745 405210 654758 755490 982137 1636895 1964274 3273790 4910685 9821370 26165137 52330274 78495411 130825685 156990822 261651370 340146781 392477055 680293562 784954110 1020440343 1700733905 2040880686 3401467810 5102201715 10204403430