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103314000141 = 32112935985371
BaseRepresentation
bin110000000110111111…
…1101000100100001101
3100212200010111222210200
41200031333220210031
53143041341001031
6115243425324113
710315134340332
oct1401577504415
9325603458720
10103314000141
113a8a70724a0
1218033796639
139986284281
145001242989
152a4a1558e6
hex180dfe890d

103314000141 has 24 divisors (see below), whose sum is σ = 168411540960. Its totient is φ = 60455421600.

The previous prime is 103314000133. The next prime is 103314000149. The reversal of 103314000141 is 141000413301.

It is an interprime number because it is at equal distance from previous prime (103314000133) and next prime (103314000149).

It is not a de Polignac number, because 103314000141 - 23 = 103314000133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314000149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17989815 + ... + 17995556.

It is an arithmetic number, because the mean of its divisors is an integer number (7017147540).

Almost surely, 2103314000141 is an apocalyptic number.

103314000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103314000141 is a deficient number, since it is larger than the sum of its proper divisors (65097540819).

103314000141 is a wasteful number, since it uses less digits than its factorization.

103314000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35985417 (or 35985414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103314000141 its reverse (141000413301), we get a palindrome (244314413442).

The spelling of 103314000141 in words is "one hundred three billion, three hundred fourteen million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 35985371 107956113 323868339 395839081 1043575759 1187517243 3130727277 3562551729 9392181831 11479333349 34438000047 103314000141