Search a number
-
+
10300003021000 = 2353711133766273
BaseRepresentation
bin1001010111100010100000…
…0001010111000011001000
31100110200002220211202121101
42111320220001113003020
52322223401233133000
633523431150551144
72112102451061350
oct225705001270310
940420086752541
1010300003021000
113311230204010
1211a42622084b4
135993947a41b4
14278746819b60
1512cdd79ebe6a
hex95e280570c8

10300003021000 has 128 divisors (see below), whose sum is σ = 30049255791360. Its totient is φ = 3210390528000.

The previous prime is 10300003020997. The next prime is 10300003021019. The reversal of 10300003021000 is 12030000301.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66806137 + ... + 66960136.

It is an arithmetic number, because the mean of its divisors is an integer number (234759810870).

Almost surely, 210300003021000 is an apocalyptic number.

10300003021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300003021000 is an abundant number, since it is smaller than the sum of its proper divisors (19749252770360).

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

10300003021000 is a wasteful number, since it uses less digits than its factorization.

10300003021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133766312 (or 133766298 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10300003021000 its reverse (12030000301), we get a palindrome (10312033021301).

The spelling of 10300003021000 in words is "ten trillion, three hundred billion, three million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 133766273 267532546 535065092 668831365 936363911 1070130184 1337662730 1471429003 1872727822 2675325460 2942858006 3344156825 3745455644 4681819555 5350650920 5885716012 6688313650 7357145015 7490911288 9363639110 10300003021 11771432024 13376627300 14714290030 16720784125 18727278220 20600006042 23409097775 26753254600 29428580060 33441568250 36785725075 37454556440 41200012084 46818195550 51500015105 58857160120 66883136500 73571450150 82400024168 93636391100 103000030210 117045488875 133766273000 147142900300 183928625375 187272782200 206000060420 234090977750 257500075525 294285800600 367857250750 412000120840 468181955500 515000151050 735714501500 936363911000 1030000302100 1287500377625 1471429003000 2060000604200 2575000755250 5150001510500 10300003021000