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124102003140 = 223255333129281
BaseRepresentation
bin111001110010100001…
…1100100100111000100
3102212022212210221221200
41303211003210213010
54013130103100030
6133002304342500
711652235423143
oct1634503444704
9385285727850
10124102003140
11486a4388865
1220075614a30
13b919ca126b
14601404d75a
153365178d60
hex1ce50e49c4

124102003140 has 72 divisors (see below), whose sum is σ = 376516242648. Its totient is φ = 33087406080.

The previous prime is 124102003007. The next prime is 124102003147. The reversal of 124102003140 is 41300201421.

124102003140 is a `hidden beast` number, since 12 + 410 + 200 + 3 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90562476096 + 33539527044 = 300936^2 + 183138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (124102003147) 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 23 ways as a sum of consecutive naturals, for example, 895300 + ... + 1024580.

It is an arithmetic number, because the mean of its divisors is an integer number (5229392259).

Almost surely, 2124102003140 is an apocalyptic number.

124102003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124102003140 is an abundant number, since it is smaller than the sum of its proper divisors (252414239508).

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

124102003140 is a wasteful number, since it uses less digits than its factorization.

124102003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134629 (or 134624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 124102003140 its reverse (41300201421), we get a palindrome (165402204561).

The spelling of 124102003140 in words is "one hundred twenty-four billion, one hundred two million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5333 10666 15999 21332 26665 31998 47997 53330 63996 79995 95994 106660 129281 159990 191988 239985 258562 319980 387843 479970 517124 646405 775686 959940 1163529 1292810 1551372 1939215 2327058 2585620 3878430 4654116 5817645 7756860 11635290 23270580 689455573 1378911146 2068366719 2757822292 3447277865 4136733438 6205100157 6894555730 8273466876 10341833595 12410200314 13789111460 20683667190 24820400628 31025500785 41367334380 62051001570 124102003140