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30113020013220 = 223253731771325321
BaseRepresentation
bin1101101100011001110111…
…10111000110101010100100
310221121202222010210022011200
412312030323313012222210
512421332431110410340
6144013421434202500
76225410464555014
oct666147367065244
9127552863708150
1030113020013220
11965a950830861
123464131583430
1313a5851509b11
147616996a5c44
153734970ba330
hex1b633bdc6aa4

30113020013220 has 144 divisors (see below), whose sum is σ = 91596502229232. Its totient is φ = 8007841751040.

The previous prime is 30113020013207. The next prime is 30113020013221. The reversal of 30113020013220 is 2231002031103.

30113020013220 is a `hidden beast` number, since 30 + 11 + 302 + 0 + 0 + 1 + 322 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4142234421504 + 25970785591716 = 2035248^2 + 5096154^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30113020013193 and 30113020013202.

It is not an unprimeable number, because it can be changed into a prime (30113020013221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189238160 + ... + 1189263480.

Almost surely, 230113020013220 is an apocalyptic number.

30113020013220 is a gapful number since it is divisible by the number (30) 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 30113020013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45798251114616).

30113020013220 is an abundant number, since it is smaller than the sum of its proper divisors (61483482216012).

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

30113020013220 is a wasteful number, since it uses less digits than its factorization.

30113020013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43422 (or 43417 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30113020013220 its reverse (2231002031103), we get a palindrome (32344022044323).

The spelling of 30113020013220 in words is "thirty trillion, one hundred thirteen billion, twenty million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 17713 22380 25321 33570 35426 50642 53139 67140 70852 75963 88565 101284 106278 126605 151926 159417 177130 212556 227889 253210 265695 303852 318834 354260 379815 455778 506420 531390 637668 759630 797085 911556 1062780 1139445 1519260 1594170 2278890 3188340 4557780 6606949 9444733 13213898 18889466 19820847 26427796 28334199 33034745 37778932 39641694 47223665 56668398 59462541 66069490 79283388 85002597 94447330 99104235 113336796 118925082 132138980 141670995 170005194 188894660 198208470 237850164 283341990 297312705 340010388 396416940 425012985 448510873 566683980 594625410 850025970 897021746 1189250820 1345532619 1700051940 1794043492 2242554365 2691065238 4036597857 4485108730 5382130476 6727663095 8073195714 8970217460 13455326190 16146391428 20182989285 26910652380 40365978570 80731957140 167294555629 334589111258 501883666887 669178222516 836472778145 1003767333774 1505651000661 1672945556290 2007534667548 2509418334435 3011302001322 3345891112580 5018836668870 6022604002644 7528255003305 10037673337740 15056510006610 30113020013220