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201021003410202 = 2356316173106189
BaseRepresentation
bin101101101101001111011001…
…100000000010101100011010
3222100202102100100200021100000
4231231033121200002230122
5202322012003333111302
61551311435111553430
760225200601153603
oct5555173140025432
9870672310607300
10201021003410202
115906258a900198
121a66727338b876
138822278a947a1
14378d67b70adaa
15183903e6c831c
hexb6d3d9802b1a

201021003410202 has 96 divisors (see below), whose sum is σ = 452470180256640. Its totient is φ = 66889341812160.

The previous prime is 201021003410153. The next prime is 201021003410299. The reversal of 201021003410202 is 202014300120102.

It is a happy number.

201021003410202 is a `hidden beast` number, since 20 + 1 + 0 + 2 + 100 + 341 + 0 + 202 = 666.

It is a super-2 number, since 2×2010210034102022 (a number of 29 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1892996124 + ... + 1893102312.

It is an arithmetic number, because the mean of its divisors is an integer number (4713231044340).

Almost surely, 2201021003410202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021003410202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226235090128320).

201021003410202 is an abundant number, since it is smaller than the sum of its proper divisors (251449176846438).

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

201021003410202 is a wasteful number, since it uses less digits than its factorization.

201021003410202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113010 (or 112998 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201021003410202 its reverse (202014300120102), we get a palindrome (403035303530304).

The spelling of 201021003410202 in words is "two hundred one trillion, twenty-one billion, three million, four hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 631 1262 1893 3786 5679 6173 11358 12346 17037 18519 34074 37038 51111 55557 102222 106189 111114 153333 166671 212378 306666 318567 333342 500013 637134 955701 1000026 1500039 1911402 2867103 3000078 3895163 5734206 7790326 8601309 11685489 17202618 23370978 25803927 35056467 51607854 67005259 70112934 105169401 134010518 201015777 210338802 315508203 402031554 603047331 631016406 655504697 946524609 1206094662 1311009394 1809141993 1893049218 1966514091 3618283986 3933028182 5427425979 5899542273 10854851958 11799084546 16282277937 17698626819 32564555874 35397253638 53095880457 106191760914 159287641371 318575282742 413623463807 827246927614 1240870391421 2481740782842 3722611174263 7445222348526 11167833522789 22335667045578 33503500568367 67007001136734 100510501705101 201021003410202