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201003102020 = 22576134767829
BaseRepresentation
bin1011101100110010110…
…1111110111101000100
3201012211020210112210002
42323030231332331010
511243123243231040
6232201202020432
720344021114460
oct2731455767504
9635736715702
10201003102020
1178277013636
1232b57647718
1315c540a4276
149a2b3d94a0
155366569a15
hex2eccb7ef44

201003102020 has 96 divisors (see below), whose sum is σ = 491736026880. Its totient is φ = 67589245440.

The previous prime is 201003102019. The next prime is 201003102073. The reversal of 201003102020 is 20201300102.

It is a happy number.

201003102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201003101992 and 201003102010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929466 + ... + 2997294.

It is an arithmetic number, because the mean of its divisors is an integer number (5122250280).

Almost surely, 2201003102020 is an apocalyptic number.

201003102020 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 201003102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245868013440).

201003102020 is an abundant number, since it is smaller than the sum of its proper divisors (290732924860).

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

201003102020 is a wasteful number, since it uses less digits than its factorization.

201003102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68253 (or 68251 counting only the distinct ones).

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

Adding to 201003102020 its reverse (20201300102), we get a palindrome (221204402122).

The spelling of 201003102020 in words is "two hundred one billion, three million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 347 427 610 694 854 1220 1388 1708 1735 2135 2429 3470 4270 4858 6940 8540 9716 12145 21167 24290 42334 48580 67829 84668 105835 135658 148169 211670 271316 296338 339145 423340 474803 592676 678290 740845 949606 1356580 1481690 1899212 2374015 2963380 4137569 4748030 8275138 9496060 16550276 20687845 23536663 28962983 41375690 47073326 57925966 82751380 94146652 115851932 117683315 144814915 164756641 235366630 289629830 329513282 470733260 579259660 659026564 823783205 1435736443 1647566410 2871472886 3295132820 5742945772 7178682215 10050155101 14357364430 20100310202 28714728860 40200620404 50250775505 100501551010 201003102020