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103040310420 = 223252572227417
BaseRepresentation
bin101111111110110101…
…1100101110010010100
3100211222001112010002100
41133331223211302110
53142011304413140
6115200331242100
710305302121165
oct1377553456224
9324861463070
10103040310420
113a776629343
1217b77ba9330
139941668ba8
144db6b5b76c
152a310e2530
hex17fdae5c94

103040310420 has 72 divisors (see below), whose sum is σ = 313771918824. Its totient is φ = 27370487808.

The previous prime is 103040310419. The next prime is 103040310469. The reversal of 103040310420 is 24013040301.

103040310420 is a `hidden beast` number, since 10 + 304 + 0 + 310 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62834446224 + 40205864196 = 250668^2 + 200514^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103040310393 and 103040310402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067449 + ... + 1159968.

It is an arithmetic number, because the mean of its divisors is an integer number (4357943317).

Almost surely, 2103040310420 is an apocalyptic number.

103040310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103040310420 is an abundant number, since it is smaller than the sum of its proper divisors (210731608404).

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

103040310420 is a wasteful number, since it uses less digits than its factorization.

103040310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227689 (or 2227684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103040310420 its reverse (24013040301), we get a palindrome (127053350721).

The spelling of 103040310420 in words is "one hundred three billion, forty million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260 2227417 4454834 6682251 8909668 11137085 13364502 20046753 22274170 26729004 33411255 40093506 44548340 66822510 80187012 100233765 133645020 200467530 400935060 572446169 1144892338 1717338507 2289784676 2862230845 3434677014 5152015521 5724461690 6869354028 8586692535 10304031042 11448923380 17173385070 20608062084 25760077605 34346770140 51520155210 103040310420