Search a number
-
+
30331241402130 = 23351733821169943
BaseRepresentation
bin1101110010110000010101…
…10111101000111100010010
310222101122020100211110012000
412321120022313220330102
512433421340244332010
6144301551400014430
76250234303013604
oct671301267507422
9128348210743160
1030331241402130
119734453046159
12349a493461416
1313c02ba892206
1476c07b763174
15378eba0797c0
hex1b960ade8f12

30331241402130 has 128 divisors (see below), whose sum is σ = 81372613271040. Its totient is φ = 8039425800960.

The previous prime is 30331241402083. The next prime is 30331241402131. The reversal of 30331241402130 is 3120414213303.

It is a happy number.

30331241402130 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 1 + 241 + 402 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30331241402094 and 30331241402103.

It is not an unprimeable number, because it can be changed into a prime (30331241402131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 178393939 + ... + 178563881.

It is an arithmetic number, because the mean of its divisors is an integer number (635723541180).

Almost surely, 230331241402130 is an apocalyptic number.

30331241402130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331241402130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40686306635520).

30331241402130 is an abundant number, since it is smaller than the sum of its proper divisors (51041371868910).

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

30331241402130 is a wasteful number, since it uses less digits than its factorization.

30331241402130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173953 (or 173947 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30331241402130 its reverse (3120414213303), we get a palindrome (33451655615433).

The spelling of 30331241402130 in words is "thirty trillion, three hundred thirty-one billion, two hundred forty-one million, four hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 173 270 346 519 865 1038 1557 1730 2595 3114 3821 4671 5190 7642 7785 9342 11463 15570 19105 22926 23355 34389 38210 46710 57315 68778 103167 114630 169943 171945 206334 339886 343890 509829 515835 661033 849715 1019658 1031670 1322066 1529487 1699430 1983099 2549145 3058974 3305165 3966198 4588461 5098290 5949297 6610330 7647435 9176922 9915495 11898594 15294870 17847891 19830990 22942305 29400139 29746485 35695782 45884610 58800278 59492970 88200417 89239455 147000695 176400834 178478910 264601251 294001390 441002085 529202502 649352203 793803753 882004170 1298704406 1323006255 1587607506 1948056609 2646012510 3246761015 3896113218 3969018765 5844169827 6493522030 7938037530 9740283045 11688339654 17532509481 19480566090 29220849135 35065018962 58441698270 87662547405 112337931119 175325094810 224675862238 337013793357 561689655595 674027586714 1011041380071 1123379311190 1685068966785 2022082760142 3033124140213 3370137933570 5055206900355 6066248280426 10110413800710 15165620701065 30331241402130