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13010067503202 = 23721116672413259
BaseRepresentation
bin1011110101010010010001…
…1100111011100001100010
31201001202020222021200101110
42331110210130323201202
53201124104240100302
643400424214044150
72511642413100600
oct275244434734142
951052228250343
1013010067503202
1141665a1a2a980
121561531349656
13734ac864bac3
1432d99511a870
1517864d42ab6c
hexbd52473b862

13010067503202 has 96 divisors (see below), whose sum is σ = 33039807517440. Its totient is φ = 3377209775520.

The previous prime is 13010067503183. The next prime is 13010067503239. The reversal of 13010067503202 is 20230576001031.

13010067503202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13010067503202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4184449 + ... + 6597707.

It is an arithmetic number, because the mean of its divisors is an integer number (344164661640).

Almost surely, 213010067503202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13010067503202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519903758720).

13010067503202 is an abundant number, since it is smaller than the sum of its proper divisors (20029740014238).

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

13010067503202 is a wasteful number, since it uses less digits than its factorization.

13010067503202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414956 (or 2414949 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 13010067503202 in words is "thirteen trillion, ten billion, sixty-seven million, five hundred three thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 1667 3234 3334 5001 10002 11669 18337 23338 35007 36674 55011 70014 81683 110022 128359 163366 245049 256718 385077 490098 770154 898513 1797026 2413259 2695539 4826518 5391078 7239777 14479554 16892813 26545849 33785626 50678439 53091698 79637547 101356878 118249691 159275094 185820943 236499382 354749073 371641886 557462829 709498146 1114925658 1300746601 2601493202 3902239803 4022902753 7804479606 8045805506 12068708259 24137416518 28160319271 44251930283 56320638542 84480957813 88503860566 132755790849 168961915626 197122234897 265511581698 309763511981 394244469794 591366704691 619527023962 929290535943 1182733409382 1858581071886 2168344583867 4336689167734 6505033751601 13010067503202