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30220112120 = 235111374571097
BaseRepresentation
bin11100001001010000…
…100101000011111000
32220000002110202102212
4130021100211003320
5443342322041440
621514413514252
72116611500102
oct341120450370
986002422385
1030220112120
11118a8513580
125a347a2988
132b07b71863
141669784572
15bbd107465
hex7094250f8

30220112120 has 128 divisors (see below), whose sum is σ = 74949831360. Its totient is φ = 10875125760.

The previous prime is 30220112113. The next prime is 30220112129. The reversal of 30220112120 is 2121102203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30220112095 and 30220112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27547412 + ... + 27548508.

Almost surely, 230220112120 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 30220112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37474915680).

30220112120 is an abundant number, since it is smaller than the sum of its proper divisors (44729719240).

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

30220112120 is a wasteful number, since it uses less digits than its factorization.

30220112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 30220112120 its reverse (2121102203), we get a palindrome (32341214323).

The spelling of 30220112120 in words is "thirty billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 457 548 685 914 1096 1097 1370 1507 1828 2194 2285 2740 3014 3656 4388 4570 5027 5480 5485 6028 7535 8776 9140 10054 10970 12056 12067 15070 18280 20108 21940 24134 25135 30140 40216 43880 48268 50270 60280 60335 62609 96536 100540 120670 125218 150289 201080 241340 250436 300578 313045 482680 500872 501329 601156 626090 688699 751445 1002658 1202312 1252180 1377398 1502890 1653179 2005316 2504360 2506645 2754796 3005780 3306358 3443495 4010632 5013290 5509592 5514619 6011560 6612716 6886990 8265895 10026580 11029238 13225432 13773980 16531790 20053160 22058476 27547960 27573095 33063580 44116952 55146190 66127160 68682073 110292380 137364146 220584760 274728292 343410365 549456584 686820730 755502803 1373641460 1511005606 2747282920 3022011212 3777514015 6044022424 7555028030 15110056060 30220112120