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201021120200 = 235261117114071
BaseRepresentation
bin1011101100110111001…
…0101101111011001000
3201012212111200222002002
42323031302231323020
511243142401321300
6232203044130132
720344330220555
oct2731562557310
9635774628062
10201021120200
11782861aa99a
1232b61696948
1315c57a42604
149a2d969a2c
155367e285d5
hex2ecdcadec8

201021120200 has 96 divisors (see below), whose sum is σ = 475475430720. Its totient is φ = 79017120000.

The previous prime is 201021120149. The next prime is 201021120203. The reversal of 201021120200 is 2021120102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201021120203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14279165 + ... + 14293235.

It is an arithmetic number, because the mean of its divisors is an integer number (4952869070).

Almost surely, 2201021120200 is an apocalyptic number.

201021120200 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 201021120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237737715360).

201021120200 is an abundant number, since it is smaller than the sum of its proper divisors (274454310520).

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

201021120200 is a wasteful number, since it uses less digits than its factorization.

201021120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201021120200 its reverse (2021120102), we get a palindrome (203042240302).

The spelling of 201021120200 in words is "two hundred one billion, twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1171 1220 1525 2342 2440 3050 4684 5855 6100 9368 11710 12200 14071 23420 28142 29275 46840 56284 58550 70355 71431 112568 117100 140710 142862 234200 281420 285724 351775 357155 562840 571448 703550 714310 858331 1407100 1428620 1716662 1785775 2814200 2857240 3433324 3571550 4291655 6866648 7143100 8583310 14286200 16477141 17166620 21458275 32954282 34333240 42916550 65908564 82385705 85833100 131817128 164771410 171666200 329542820 411928525 659085640 823857050 1005105601 1647714100 2010211202 3295428200 4020422404 5025528005 8040844808 10051056010 20102112020 25127640025 40204224040 50255280050 100510560100 201021120200