Search a number
-
+
121301102300 = 22527234771341
BaseRepresentation
bin111000011111000011…
…0111110111011011100
3102121002200102110022112
41300332012332323130
53441411040233200
6131420331333152
711522645233400
oct1607606767334
9377080373275
10121301102300
1147497345584
121b6135b11b8
13b591919ca1
145c2a073100
15324e312535
hex1c3e1beedc

121301102300 has 108 divisors (see below), whose sum is σ = 307085360904. Its totient is φ = 41468515200.

The previous prime is 121301102291. The next prime is 121301102347. The reversal of 121301102300 is 3201103121.

121301102300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 35 ways as a sum of consecutive naturals, for example, 1664630 + ... + 1735970.

Almost surely, 2121301102300 is an apocalyptic number.

121301102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121301102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153542680452).

121301102300 is an abundant number, since it is smaller than the sum of its proper divisors (185784258604).

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

121301102300 is a wasteful number, since it uses less digits than its factorization.

121301102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71716 (or 71702 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 121301102300 its reverse (3201103121), we get a palindrome (124502205421).

The spelling of 121301102300 in words is "one hundred twenty-one billion, three hundred one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 347 350 490 694 700 980 1225 1388 1735 2429 2450 3470 4858 4900 6940 8675 9716 12145 17003 17350 24290 34006 34700 48580 60725 68012 71341 85015 121450 142682 170030 242900 285364 340060 356705 425075 499387 713410 850150 998774 1426820 1700300 1783525 1997548 2496935 3495709 3567050 4993870 6991418 7134100 9987740 12484675 13982836 17478545 24755327 24969350 34957090 49510654 49938700 69914180 87392725 99021308 123776635 173287289 174785450 247553270 346574578 349570900 495106540 618883175 693149156 866436445 1213011023 1237766350 1732872890 2426022046 2475532700 3465745780 4332182225 4852044092 6065055115 8664364450 12130110230 17328728900 24260220460 30325275575 60650551150 121301102300