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12016513545102 = 23311294117014147
BaseRepresentation
bin1010111011011101000000…
…0001010111001110001110
31120112202201111020010001000
42232313100001113032032
53033334304431420402
641320150552401130
72350110256562613
oct256672001271616
946482644203030
1012016513545102
1139131a1698740
121420a6a0a61a6
136921c9991251
142d7860c3050a
1515c89ca57c1c
hexaedd005738e

12016513545102 has 128 divisors (see below), whose sum is σ = 30870470131200. Its totient is φ = 3430051833600.

The previous prime is 12016513545067. The next prime is 12016513545103. The reversal of 12016513545102 is 20154531561021.

12016513545102 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 6 + 5 + 1 + 3 + 545 + 102 = 666.

12016513545102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12016513545103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7800808 + ... + 9213339.

It is an arithmetic number, because the mean of its divisors is an integer number (241175547900).

Almost surely, 212016513545102 is an apocalyptic number.

12016513545102 is an abundant number, since it is smaller than the sum of its proper divisors (18853956586098).

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

12016513545102 is a wasteful number, since it uses less digits than its factorization.

12016513545102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17014239 (or 17014233 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12016513545102 in words is "twelve trillion, sixteen billion, five hundred thirteen million, five hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 41 54 58 66 82 87 99 123 174 198 246 261 297 319 369 451 522 594 638 738 783 902 957 1107 1189 1353 1566 1914 2214 2378 2706 2871 3567 4059 5742 7134 8118 8613 10701 12177 13079 17226 21402 24354 26158 32103 39237 64206 78474 117711 235422 353133 706266 17014147 34028294 51042441 102084882 153127323 187155617 306254646 374311234 459381969 493410263 561466851 697580027 918763938 986820526 1122933702 1395160054 1480230789 1684400553 2092740081 2960461578 3368801106 4185480162 4440692367 5053201659 5427512893 6278220243 7673380297 8881384734 10106403318 10855025786 12556440486 13322077101 15346760594 16282538679 18834660729 20229820783 23020140891 26644154202 32565077358 37669321458 40459641566 46040281782 48847616037 60689462349 69060422673 97695232074 121378924698 138120845346 146542848111 182068387047 207181268019 222528028613 293085696222 364136774094 414362536038 445056057226 546205161141 667584085839 1092410322282 1335168171678 2002752257517 4005504515034 6008256772551 12016513545102