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103204242141 = 371121321767211
BaseRepresentation
bin110000000011101110…
…0111100001011011101
3100212101110222201010120
41200013130330023131
53142330241222031
6115224505025153
710312332404220
oct1400734741335
9325343881116
10103204242141
113a850116700
1218002a851b9
139969605100
144dd08315b7
152a406c4a96
hex180773c2dd

103204242141 has 288 divisors, whose sum is σ = 202101709824. Its totient is φ = 45664819200.

The previous prime is 103204242139. The next prime is 103204242143. The reversal of 103204242141 is 141242402301.

It is an interprime number because it is at equal distance from previous prime (103204242139) and next prime (103204242143).

It is not a de Polignac number, because 103204242141 - 21 = 103204242139 is a prime.

It is a super-2 number, since 2×1032042421412 (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 (103204242143) 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 287 ways as a sum of consecutive naturals, for example, 489119526 + ... + 489119736.

It is an arithmetic number, because the mean of its divisors is an integer number (701742048).

Almost surely, 2103204242141 is an apocalyptic number.

103204242141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103204242141 is a deficient number, since it is larger than the sum of its proper divisors (98897467683).

103204242141 is a wasteful number, since it uses less digits than its factorization.

103204242141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103204242141 its reverse (141242402301), we get a palindrome (244446644442).

The spelling of 103204242141 in words is "one hundred three billion, two hundred four million, two hundred forty-two thousand, one hundred forty-one".