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202002202201002 = 23747671556998101
BaseRepresentation
bin101101111011100001001101…
…100000011000101110101010
3222111020012222210022022101120
4231323201031200120232222
5202434101002230413002
61553342310335200110
760356114611236630
oct5573411540305652
9874205883268346
10202002202201002
115940071aa57365
121a7a5468976036
138893958b45668
1437c4d5cb65350
15185481a570cbc
hexb7b84d818baa

202002202201002 has 128 divisors (see below), whose sum is σ = 478616709980160. Its totient is φ = 55639708185600.

The previous prime is 202002202200959. The next prime is 202002202201081. The reversal of 202002202201002 is 200102202200202.

202002202201002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2059075752 + ... + 2059173852.

It is an arithmetic number, because the mean of its divisors is an integer number (3739193046720).

Almost surely, 2202002202201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202002202201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239308354990080).

202002202201002 is an abundant number, since it is smaller than the sum of its proper divisors (276614507779158).

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

202002202201002 is a wasteful number, since it uses less digits than its factorization.

202002202201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113796.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202002202201002 its reverse (200102202200202), we get a palindrome (402104404401204).

The spelling of 202002202201002 in words is "two hundred two trillion, two billion, two hundred two million, two hundred one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 47 67 94 134 141 201 282 329 402 469 658 938 987 1407 1974 2814 3149 6298 9447 15569 18894 22043 31138 44086 46707 66129 93414 98101 108983 132258 196202 217966 294303 326949 588606 653898 686707 731743 1043123 1373414 1463486 2060121 2086246 2195229 3129369 4120242 4390458 4610747 5122201 6258738 6572767 7301861 9221494 10244402 13145534 13832241 14603722 15366603 19718301 21905583 27664482 30733206 32275229 39436602 43811166 46009369 49026781 64550458 92018738 96825687 98053562 138028107 147080343 193651374 276056214 294160686 308920049 343187467 617840098 686374934 926760147 1029562401 1527334469 1853520294 2059124802 2162440343 3054668938 4324880686 4582003407 6487321029 9164006814 10691341283 12974642058 21382682566 32074023849 64148047698 71784720043 102331409423 143569440086 204662818846 215354160129 306994228269 430708320258 502493040301 613988456538 716319865961 1004986080602 1432639731922 1507479120903 2148959597883 3014958241806 4297919195766 4809576242881 9619152485762 14428728728643 28857457457286 33667033700167 67334067400334 101001101100501 202002202201002