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30120213000 = 2335326473793
BaseRepresentation
bin11100000011010011…
…011111101000001000
32212202010111100121110
4130003103133220020
5443141233304000
621500444410320
72114256405033
oct340323375010
985663440543
1030120213000
1111857090919
125a072469a0
132ac0264c57
14165a3bc01a
15bb4472850
hex7034dfa08

30120213000 has 128 divisors (see below), whose sum is σ = 94035352320. Its totient is φ = 8026905600.

The previous prime is 30120212999. The next prime is 30120213023. The reversal of 30120213000 is 31202103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 7939104 + ... + 7942896.

It is an arithmetic number, because the mean of its divisors is an integer number (734651190).

Almost surely, 230120213000 is an apocalyptic number.

30120213000 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 30120213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47017676160).

30120213000 is an abundant number, since it is smaller than the sum of its proper divisors (63915139320).

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

30120213000 is a wasteful number, since it uses less digits than its factorization.

30120213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30120213000 its reverse (31202103), we get a palindrome (30151415103).

The spelling of 30120213000 in words is "thirty billion, one hundred twenty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2647 3000 3793 5294 7586 7941 10588 11379 13235 15172 15882 18965 21176 22758 26470 30344 31764 37930 39705 45516 52940 56895 63528 66175 75860 79410 91032 94825 105880 113790 132350 151720 158820 189650 198525 227580 264700 284475 317640 330875 379300 397050 455160 474125 529400 568950 661750 758600 794100 948250 992625 1137900 1323500 1422375 1588200 1896500 1985250 2275800 2647000 2844750 3793000 3970500 5689500 7941000 10040071 11379000 20080142 30120213 40160284 50200355 60240426 80320568 100400710 120480852 150601065 200801420 240961704 251001775 301202130 401602840 502003550 602404260 753005325 1004007100 1204808520 1255008875 1506010650 2008014200 2510017750 3012021300 3765026625 5020035500 6024042600 7530053250 10040071000 15060106500 30120213000