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103120310320 = 2454131439119
BaseRepresentation
bin110000000001001110…
…0110001000000110000
3100212011122001112022121
41200002130301000300
53142142244412240
6115212310044024
710310263114066
oct1400234610060
9325148045277
10103120310320
113a8077aa465
1217b9a949614
1399550c9201
144dc3624036
152a3814604a
hex1802731030

103120310320 has 40 divisors (see below), whose sum is σ = 245602405440. Its totient is φ = 40242071040.

The previous prime is 103120310311. The next prime is 103120310333. The reversal of 103120310320 is 23013021301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103120310294 and 103120310303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15716280 + ... + 15722839.

It is an arithmetic number, because the mean of its divisors is an integer number (6140060136).

Almost surely, 2103120310320 is an apocalyptic number.

103120310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103120310320 is an abundant number, since it is smaller than the sum of its proper divisors (142482095120).

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

103120310320 is a wasteful number, since it uses less digits than its factorization.

103120310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31439173 (or 31439167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103120310320 its reverse (23013021301), we get a palindrome (126133331621).

The spelling of 103120310320 in words is "one hundred three billion, one hundred twenty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 31439119 62878238 125756476 157195595 251512952 314391190 503025904 628782380 1257564760 1289003879 2515129520 2578007758 5156015516 6445019395 10312031032 12890038790 20624062064 25780077580 51560155160 103120310320