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30111132130420 = 225112332633223099
BaseRepresentation
bin1101101100010110010110…
…10101011001110001110100
310221121121002120101220211111
412312023023111121301310
512421320044311133140
6144012510234244404
76225312632043355
oct666131325316164
9127547076356744
1030111132130420
11965a072101540
1234638a5286704
1313a56103596c3
1476155aa73d2c
153733d64a27ea
hex1b62cb559c74

30111132130420 has 96 divisors (see below), whose sum is σ = 69304547894400. Its totient is φ = 10898319452160.

The previous prime is 30111132130403. The next prime is 30111132130441. The reversal of 30111132130420 is 2403123111103.

It is a super-2 number, since 2×301111321304202 (a number of 28 digits) contains 22 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 = 30111132130391 and 30111132130400.

It is a congruent number.

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, 134856031 + ... + 135079129.

It is an arithmetic number, because the mean of its divisors is an integer number (721922373900).

Almost surely, 230111132130420 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 30111132130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34652273947200).

30111132130420 is an abundant number, since it is smaller than the sum of its proper divisors (39193415763980).

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

30111132130420 is a wasteful number, since it uses less digits than its factorization.

30111132130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225985 (or 225983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 30111132130420 its reverse (2403123111103), we get a palindrome (32514255241523).

The spelling of 30111132130420 in words is "thirty trillion, one hundred eleven billion, one hundred thirty-two million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 2633 4660 5126 5266 10252 10532 12815 13165 25630 26330 28963 51260 52660 57926 115852 144815 223099 289630 446198 579260 613489 892396 1115495 1226978 2230990 2453956 2454089 3067445 4461980 4908178 6134890 6748379 9816356 12269780 12270445 13496758 24540890 26993516 33741895 49081780 51982067 67483790 103964134 134967580 207928268 259910335 519820670 571802737 587419667 1039641340 1143605474 1174839334 2287210948 2349678668 2859013685 2937098335 5718027370 5874196670 6461616337 11436054740 11748393340 12923232674 25846465348 32308081685 64616163370 129232326740 136868782411 273737564822 547475129644 684343912055 1368687824110 1505556606521 2737375648220 3011113213042 6022226426084 7527783032605 15055566065210 30111132130420