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120120030 = 2335232292
BaseRepresentation
bin1110010100011…
…10001011011110
322101000201201000
413022032023132
5221222320110
615530331130
72656001112
oct712161336
9271021630
10120120030
1161893a58
1234289aa6
131bb69754
1411d4b742
15a82b1c0
hex728e2de

120120030 has 144 divisors (see below), whose sum is σ = 346797360. Its totient is φ = 29582784.

The previous prime is 120119999. The next prime is 120120031. The reversal of 120120030 is 30021021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120119994 and 120120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4142056 + ... + 4142084.

It is an arithmetic number, because the mean of its divisors is an integer number (2408315).

Almost surely, 2120120030 is an apocalyptic number.

120120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173398680).

120120030 is an abundant number, since it is smaller than the sum of its proper divisors (226677330).

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

120120030 is a wasteful number, since it uses less digits than its factorization.

120120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120120030 is about 10959.9283756784. The cubic root of 120120030 is about 493.4068153062.

Adding to 120120030 its reverse (30021021), we get a palindrome (150141051).

Subtracting from 120120030 its reverse (30021021), we obtain a palindrome (90099009).

The spelling of 120120030 in words is "one hundred twenty million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 87 90 115 135 138 145 174 207 230 261 270 290 345 414 435 522 529 621 667 690 783 841 870 1035 1058 1242 1305 1334 1566 1587 1682 2001 2070 2523 2610 2645 3105 3174 3335 3915 4002 4205 4761 5046 5290 6003 6210 6670 7569 7830 7935 8410 9522 10005 12006 12615 14283 15138 15341 15870 18009 19343 20010 22707 23805 25230 28566 30015 30682 36018 37845 38686 45414 46023 47610 58029 60030 71415 75690 76705 90045 92046 96715 113535 116058 138069 142830 153410 174087 180090 193430 227070 230115 276138 290145 348174 414207 444889 460230 522261 580290 690345 828414 870435 889778 1044522 1334667 1380690 1740870 2071035 2224445 2611305 2669334 4004001 4142070 4448890 5222610 6673335 8008002 12012003 13346670 20020005 24024006 40040010 60060015 120120030