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201230120 = 23571359937
BaseRepresentation
bin10111111111010…
…00011100101000
3112000122112211102
423333220130220
5403003330440
631545020532
74662266510
oct1377503450
9460575742
10201230120
11a3653193
1257484748
13328c81a0
141ca22840
15129edb15
hexbfe8728

201230120 has 128 divisors (see below), whose sum is σ = 567302400. Its totient is φ = 62539776.

The previous prime is 201230093. The next prime is 201230129. The reversal of 201230120 is 21032102.

It is a happy number.

It is a super-2 number, since 2×2012301202 = 80987122390428800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201230129) 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, 214292 + ... + 215228.

It is an arithmetic number, because the mean of its divisors is an integer number (4432050).

Almost surely, 2201230120 is an apocalyptic number.

201230120 is a gapful number since it is divisible by the number (20) 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 201230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283651200).

201230120 is an abundant number, since it is smaller than the sum of its proper divisors (366072280).

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

201230120 is a wasteful number, since it uses less digits than its factorization.

201230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 201230120 is about 14185.5602638740. The cubic root of 201230120 is about 586.0000621246. Note that the first 4 decimals are identical.

Adding to 201230120 its reverse (21032102), we get a palindrome (222262222).

The spelling of 201230120 in words is "two hundred one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 91 104 118 130 140 182 236 260 280 295 364 413 455 472 520 590 728 767 826 910 937 1180 1534 1652 1820 1874 2065 2360 3068 3304 3640 3748 3835 4130 4685 5369 6136 6559 7496 7670 8260 9370 10738 12181 13118 15340 16520 18740 21476 24362 26236 26845 30680 32795 37480 42952 48724 52472 53690 55283 60905 65590 85267 97448 107380 110566 121810 131180 170534 214760 221132 243620 262360 276415 341068 386981 426335 442264 487240 552830 682136 718679 773962 852670 1105660 1437358 1547924 1705340 1934905 2211320 2874716 3095848 3410680 3593395 3869810 5030753 5749432 7186790 7739620 10061506 14373580 15479240 20123012 25153765 28747160 40246024 50307530 100615060 201230120