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103314000230 = 25713716376581
BaseRepresentation
bin110000000110111111…
…1101000100101100110
3100212200010111222220222
41200031333220211212
53143041341001410
6115243425324342
710315134340520
oct1401577504546
9325603458828
10103314000230
113a8a7072571
12180337966b2
13998628431c
145001242a10
152a4a155955
hex180dfe8966

103314000230 has 64 divisors (see below), whose sum is σ = 214246311552. Its totient is φ = 35136568320.

The previous prime is 103314000217. The next prime is 103314000233. The reversal of 103314000230 is 32000413301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103314000199 and 103314000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314000233) 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 31 ways as a sum of consecutive naturals, for example, 15695540 + ... + 15702120.

It is an arithmetic number, because the mean of its divisors is an integer number (3347598618).

Almost surely, 2103314000230 is an apocalyptic number.

103314000230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103314000230 is an abundant number, since it is smaller than the sum of its proper divisors (110932311322).

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

103314000230 is a wasteful number, since it uses less digits than its factorization.

103314000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103314000230 its reverse (32000413301), we get a palindrome (135314413531).

The spelling of 103314000230 in words is "one hundred three billion, three hundred fourteen million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 137 274 685 959 1370 1637 1918 3274 4795 6581 8185 9590 11459 13162 16370 22918 32905 46067 57295 65810 92134 114590 224269 230335 448538 460670 901597 1121345 1569883 1803194 2242690 3139766 4507985 6311179 7849415 9015970 10773097 12622358 15698830 21546194 31555895 53865485 63111790 75411679 107730970 150823358 377058395 754116790 1475914289 2951828578 7379571445 10331400023 14759142890 20662800046 51657000115 103314000230