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103430242125 = 32537103912641
BaseRepresentation
bin110000001010011101…
…1000011111101001101
3100212222020020200211100
41200110323003331031
53143311120222000
6115303141013313
710321045360260
oct1402473037515
9325866220740
10103430242125
113a956747851
12180666b4239
1399a4393802
145012860cd7
152a55467a00
hex1814ec3f4d

103430242125 has 96 divisors (see below), whose sum is σ = 213307960320. Its totient is φ = 47233152000.

The previous prime is 103430242121. The next prime is 103430242129. The reversal of 103430242125 is 521242034301.

103430242125 is a `hidden beast` number, since 10 + 3 + 430 + 2 + 4 + 212 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (103430242121) and next prime (103430242129).

It is not a de Polignac number, because 103430242125 - 22 = 103430242121 is a prime.

It is a super-2 number, since 2×1034302421252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103430242121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8175805 + ... + 8188445.

It is an arithmetic number, because the mean of its divisors is an integer number (2221957920).

Almost surely, 2103430242125 is an apocalyptic number.

103430242125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103430242125 is an abundant number, since it is smaller than the sum of its proper divisors (109877718195).

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

103430242125 is a wasteful number, since it uses less digits than its factorization.

103430242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708 (or 13695 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 103430242125 its reverse (521242034301), we get a palindrome (624672276426).

The spelling of 103430242125 in words is "one hundred three billion, four hundred thirty million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1039 1125 1575 2625 3117 5195 7273 7875 9351 12641 15585 21819 25975 36365 37923 46755 63205 65457 77925 88487 109095 113769 129875 181825 189615 233775 265461 316025 327285 389625 442435 545475 568845 796383 909125 948075 1168875 1327305 1580125 1636425 2212175 2727375 2844225 3981915 4740375 6636525 8182125 11060875 13133999 14221125 19909575 33182625 39401997 65669995 91937993 99547875 118205991 197009985 275813979 328349975 459689965 591029955 827441937 985049925 1379069895 1641749875 2298449825 2955149775 4137209685 4925249625 6895349475 11492249125 14775748875 20686048425 34476747375 103430242125