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201330120 = 23353154121
BaseRepresentation
bin11000000000000…
…00110111001000
3112000211122000010
430000000313020
5403020030440
631551111520
74663164165
oct1400006710
9460748003
10201330120
11a3711332
12575125a0
1332931864
141ca4b06c
1512a1d580
hexc000dc8

201330120 has 64 divisors (see below), whose sum is σ = 623485440. Its totient is φ = 51955200.

The previous prime is 201330113. The next prime is 201330121. The reversal of 201330120 is 21033102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201330096 and 201330105.

It is not an unprimeable number, because it can be changed into a prime (201330121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23341 + ... + 30780.

It is an arithmetic number, because the mean of its divisors is an integer number (9741960).

Almost surely, 2201330120 is an apocalyptic number.

201330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201330120 is an abundant number, since it is smaller than the sum of its proper divisors (422155320).

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

201330120 is a wasteful number, since it uses less digits than its factorization.

201330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54166 (or 54162 counting only the distinct ones).

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

The square root of 201330120 is about 14189.0845370658. The cubic root of 201330120 is about 586.0971156901.

Adding to 201330120 its reverse (21033102), we get a palindrome (222363222).

The spelling of 201330120 in words is "two hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 54121 108242 162363 216484 270605 324726 432968 541210 649452 811815 1082420 1298904 1623630 1677751 2164840 3247260 3355502 5033253 6494520 6711004 8388755 10066506 13422008 16777510 20133012 25166265 33555020 40266024 50332530 67110040 100665060 201330120