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30112241000 = 23531012811061
BaseRepresentation
bin11100000010110101…
…000101010101101000
32212201120111100002012
4130002311011111220
5443132213203000
621500001455052
72114131553042
oct340265052550
985646440065
1030112241000
1111852636396
125a04641488
132abb7034aa
141659304a92
15bb38ea735
hex702d45568

30112241000 has 128 divisors (see below), whose sum is σ = 71480841120. Its totient is φ = 11872000000.

The previous prime is 30112240999. The next prime is 30112241099. The reversal of 30112241000 is 14221103.

It can be written as a sum of positive squares in 16 ways, for example, as 1852613764 + 28259627236 = 43042^2 + 168106^2 .

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, 28380470 + ... + 28381530.

Almost surely, 230112241000 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 30112241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35740420560).

30112241000 is an abundant number, since it is smaller than the sum of its proper divisors (41368600120).

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

30112241000 is a wasteful number, since it uses less digits than its factorization.

30112241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1450 counting only the distinct ones).

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

Adding to 30112241000 its reverse (14221103), we get a palindrome (30126462103).

The spelling of 30112241000 in words is "thirty billion, one hundred twelve million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 281 404 500 505 562 808 1000 1010 1061 1124 1405 2020 2122 2248 2525 2810 4040 4244 5050 5305 5620 7025 8488 10100 10610 11240 12625 14050 20200 21220 25250 26525 28100 28381 35125 42440 50500 53050 56200 56762 70250 101000 106100 107161 113524 132625 140500 141905 212200 214322 227048 265250 281000 283810 298141 428644 530500 535805 567620 596282 709525 857288 1061000 1071610 1135240 1192564 1419050 1490705 2143220 2385128 2679025 2838100 2981410 3547625 4286440 5358050 5676200 5962820 7095250 7453525 10716100 11925640 13395125 14190500 14907050 21432200 26790250 28381000 29814100 30112241 37267625 53580500 59628200 60224482 74535250 107161000 120448964 149070500 150561205 240897928 298141000 301122410 602244820 752806025 1204489640 1505612050 3011224100 3764030125 6022448200 7528060250 15056120500 30112241000