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201033120 = 2535418819
BaseRepresentation
bin10111111101110…
…00010110100000
3112000021112121010
423332320112200
5402431024440
631540500520
74660516251
oct1376702640
9460245533
10201033120
11a3529182
12573aa740
1332859612
141c9b0b28
15129b0580
hexbfb85a0

201033120 has 48 divisors (see below), whose sum is σ = 633255840. Its totient is φ = 53608704.

The previous prime is 201033101. The next prime is 201033121. The reversal of 201033120 is 21330102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 201033096 and 201033105.

It is not an unprimeable number, because it can be changed into a prime (201033121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208930 + ... + 209889.

It is an arithmetic number, because the mean of its divisors is an integer number (13192830).

Almost surely, 2201033120 is an apocalyptic number.

201033120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201033120 is an abundant number, since it is smaller than the sum of its proper divisors (432222720).

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

201033120 is a wasteful number, since it uses less digits than its factorization.

201033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418837 (or 418829 counting only the distinct ones).

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

The square root of 201033120 is about 14178.6148829849. The cubic root of 201033120 is about 585.8087724964.

Adding to 201033120 its reverse (21330102), we get a palindrome (222363222).

The spelling of 201033120 in words is "two hundred one million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 418819 837638 1256457 1675276 2094095 2512914 3350552 4188190 5025828 6282285 6701104 8376380 10051656 12564570 13402208 16752760 20103312 25129140 33505520 40206624 50258280 67011040 100516560 201033120