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121303303000 = 23531122349451
BaseRepresentation
bin111000011111000111…
…1011000001101011000
3102121002211120021002221
41300332033120031120
53441412121144000
6131420450433424
711523003030415
oct1607617301530
9377084507087
10121303303000
1147498608a40
121b614292874
13b59220a889
145c2a48710c
15324e5e961a
hex1c3e3d8358

121303303000 has 128 divisors (see below), whose sum is σ = 311049123840. Its totient is φ = 43911600000.

The previous prime is 121303302997. The next prime is 121303303001. The reversal of 121303303000 is 303303121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121303303001) 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, 2428275 + ... + 2477725.

It is an arithmetic number, because the mean of its divisors is an integer number (2430071280).

Almost surely, 2121303303000 is an apocalyptic number.

121303303000 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 121303303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155524561920).

121303303000 is an abundant number, since it is smaller than the sum of its proper divisors (189745820840).

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

121303303000 is a wasteful number, since it uses less digits than its factorization.

121303303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49706 (or 49692 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 121303303000 its reverse (303303121), we get a palindrome (121606606121).

The spelling of 121303303000 in words is "one hundred twenty-one billion, three hundred three million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 223 250 275 440 446 500 550 892 1000 1100 1115 1375 1784 2200 2230 2453 2750 4460 4906 5500 5575 8920 9812 11000 11150 12265 19624 22300 24530 27875 44600 49060 49451 55750 61325 98120 98902 111500 122650 197804 223000 245300 247255 306625 395608 490600 494510 543961 613250 989020 1087922 1226500 1236275 1978040 2175844 2453000 2472550 2719805 4351688 4945100 5439610 6181375 9890200 10879220 11027573 12362750 13599025 21758440 22055146 24725500 27198050 44110292 49451000 54396100 55137865 67995125 88220584 108792200 110275730 121303303 135990250 220551460 242606606 271980500 275689325 441102920 485213212 543961000 551378650 606516515 970426424 1102757300 1213033030 1378446625 2205514600 2426066060 2756893250 3032582575 4852132120 5513786500 6065165150 11027573000 12130330300 15162912875 24260660600 30325825750 60651651500 121303303000