Search a number
-
+
30123333020 = 22511193127499
BaseRepresentation
bin11100000011011111…
…011001010110011100
32212202100100212110202
4130003133121112130
5443143033124040
621501035323032
72114325051224
oct340337312634
985670325422
1030123333020
1111858921a50
125a082b0478
132ac0ab8111
14165a991084
15bb488c015
hex7037d959c

30123333020 has 144 divisors (see below), whose sum is σ = 75070800000. Its totient is φ = 10041321600.

The previous prime is 30123332983. The next prime is 30123333041. The reversal of 30123333020 is 2033332103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30123332983 and 30123333001.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4013231 + ... + 4020729.

It is an arithmetic number, because the mean of its divisors is an integer number (521325000).

Almost surely, 230123333020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30123333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37535400000).

30123333020 is an abundant number, since it is smaller than the sum of its proper divisors (44947466980).

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

30123333020 is a wasteful number, since it uses less digits than its factorization.

30123333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 30123333020 its reverse (2033332103), we get a palindrome (32156665123).

The spelling of 30123333020 in words is "thirty billion, one hundred twenty-three million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 31 38 44 55 62 76 95 110 124 155 190 209 220 310 341 380 418 589 620 682 836 961 1045 1178 1364 1705 1922 2090 2356 2945 3410 3844 4180 4805 5890 6479 6820 7499 9610 10571 11780 12958 14998 18259 19220 21142 25916 29996 32395 36518 37495 42284 52855 64790 73036 74990 82489 91295 105710 129580 142481 149980 164978 182590 200849 211420 232469 284962 329956 365180 401698 412445 464938 569924 712405 803396 824890 929876 1004245 1162345 1424810 1567291 1649780 2008490 2324690 2557159 2849620 3134582 4016980 4416911 4649380 5114318 6269164 7206539 7836455 8833822 10228636 12785795 14413078 15672910 17667644 22084555 25571590 28826156 31345820 36032695 44169110 48586021 51143180 72065390 79271929 88338220 97172042 136924241 144130780 158543858 194344084 242930105 273848482 317087716 396359645 485860210 547696964 684621205 792719290 971720420 1369242410 1506166651 1585438580 2738484820 3012333302 6024666604 7530833255 15061666510 30123333020