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20430102140 = 2257314272087
BaseRepresentation
bin10011000001101110…
…101001111001111100
31221201210211201110122
4103001232221321330
5313320101232030
613215131554112
71322164001000
oct230156517174
957653751418
1020430102140
118734295138
123b61bbb938
131c07828846
14dbb484700
157e88c88e5
hex4c1ba9e7c

20430102140 has 96 divisors (see below), whose sum is σ = 50091955200. Its totient is φ = 6996343872.

The previous prime is 20430102113. The next prime is 20430102167. The reversal of 20430102140 is 4120103402.

It is an interprime number because it is at equal distance from previous prime (20430102113) and next prime (20430102167).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9788177 + ... + 9790263.

It is an arithmetic number, because the mean of its divisors is an integer number (521791200).

Almost surely, 220430102140 is an apocalyptic number.

20430102140 is a gapful number since it is divisible by the number (20) 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 20430102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045977600).

20430102140 is an abundant number, since it is smaller than the sum of its proper divisors (29661853060).

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

20430102140 is a wasteful number, since it uses less digits than its factorization.

20430102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20430102140 its reverse (4120103402), we get a palindrome (24550205542).

The spelling of 20430102140 in words is "twenty billion, four hundred thirty million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1427 1715 2087 2854 3430 4174 5708 6860 7135 8348 9989 10435 14270 14609 19978 20870 28540 29218 39956 41740 49945 58436 69923 73045 99890 102263 139846 146090 199780 204526 279692 292180 349615 409052 489461 511315 699230 715841 978922 1022630 1398460 1431682 1957844 2045260 2447305 2863364 2978149 3579205 4894610 5956298 7158410 9789220 11912596 14316820 14890745 20847043 29781490 41694086 59562980 83388172 104235215 145929301 208470430 291858602 416940860 583717204 729646505 1021505107 1459293010 2043010214 2918586020 4086020428 5107525535 10215051070 20430102140