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201303032220 = 2235541420377
BaseRepresentation
bin1011101101111010011…
…0001000000110011100
3201020121011011120200000
42323132212020012130
511244232034012340
6232251034334300
720354322353523
oct2733646100634
9636534146600
10201303032220
117841034a634
123301bb8a390
1315ca1279364
149a591914ba
155382a62d30
hex2ede98819c

201303032220 has 72 divisors (see below), whose sum is σ = 633234738864. Its totient is φ = 53680807296.

The previous prime is 201303032197. The next prime is 201303032221. The reversal of 201303032220 is 22230303102.

It is a happy number.

201303032220 is a `hidden beast` number, since 20 + 1 + 303 + 0 + 322 + 20 = 666.

201303032220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201303032193 and 201303032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201303032221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20705329 + ... + 20715048.

Almost surely, 2201303032220 is an apocalyptic number.

201303032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201303032220 is an abundant number, since it is smaller than the sum of its proper divisors (431931706644).

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

201303032220 is a wasteful number, since it uses less digits than its factorization.

201303032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41420401 (or 41420387 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201303032220 its reverse (22230303102), we get a palindrome (223533335322).

The spelling of 201303032220 in words is "two hundred one billion, three hundred three million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 41420377 82840754 124261131 165681508 207101885 248522262 372783393 414203770 497044524 621305655 745566786 828407540 1118350179 1242611310 1491133572 1863916965 2236700358 2485222620 3355050537 3727833930 4473400716 5591750895 6710101074 7455667860 10065151611 11183501790 13420202148 16775252685 20130303222 22367003580 33550505370 40260606444 50325758055 67101010740 100651516110 201303032220