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130030203302032 = 24114783922438353
BaseRepresentation
bin11101100100001100000100…
…000100111111000010010000
3122001101202200102212000002211
4131210030010010333002100
5114020403324021131112
61140315014543321504
736250241440426555
oct3544140404770220
9561352612760084
10130030203302032
113848255497a070
1212700883bb0294
135772a45abc537
1424176d1608a2c
1510075b5e800a7
hex76430413f090

130030203302032 has 160 divisors (see below), whose sum is σ = 281177643479040. Its totient is φ = 57745471426560.

The previous prime is 130030203302029. The next prime is 130030203302071. The reversal of 130030203302032 is 230203302030031.

It is a super-3 number, since 3×1300302033020323 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 130030203301994 and 130030203302012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15566882368 + ... + 15566890720.

It is an arithmetic number, because the mean of its divisors is an integer number (1757360271744).

Almost surely, 2130030203302032 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 130030203302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140588821739520).

130030203302032 is an abundant number, since it is smaller than the sum of its proper divisors (151147440177008).

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

130030203302032 is a wasteful number, since it uses less digits than its factorization.

130030203302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11495 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 130030203302032 its reverse (230203302030031), we get a palindrome (360233505332063).

The spelling of 130030203302032 in words is "one hundred thirty trillion, thirty billion, two hundred three million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 839 1034 1678 2068 2243 3356 4136 4486 6712 8272 8353 8972 9229 13424 16706 17944 18458 24673 33412 35888 36916 39433 49346 66824 73832 78866 91883 98692 105421 133648 147664 157732 183766 197384 210842 315464 367532 392591 394768 421684 433763 630928 735064 785182 843368 867526 1159631 1470128 1570364 1686736 1735052 1881877 2319262 3140728 3470104 3763754 4318501 4638524 6281456 6940208 7008167 7527508 8637002 9277048 14016334 15055016 17274004 18554096 18735779 20700647 28032668 30110032 34548008 37471558 41401294 56065336 69096016 74943116 77089837 82802588 88448219 112130672 149886232 154179674 165605176 176896438 206093569 299772464 308359348 329383849 331210352 353792876 412187138 616718696 658767698 707585752 824374276 880581613 972930409 1233437392 1317535396 1415171504 1648748552 1761163226 1945860818 2635070792 3297497104 3522326452 3623222339 3891721636 5270141584 7044652904 7246444678 7783443272 9686397743 14089305808 14492889356 15566886544 15719318581 19372795486 28985778712 31438637162 38745590972 57971557424 62877274324 77491181944 125754548648 154982363888 172912504391 251509097296 345825008782 691650017564 738807973307 1383300035128 1477615946614 2766600070256 2955231893228 5910463786456 8126887706377 11820927572912 16253775412754 32507550825508 65015101651016 130030203302032