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201301503435252 = 2232111739775320363
BaseRepresentation
bin101101110001010100101000…
…100110101110000111110100
3222101202020100212221221020200
4231301110220212232013310
5202341110434334412002
61552044344541000500
760254360625062313
oct5561245046560764
9871666325857220
10201301503435252
1159160540851710
121a6b16b6253130
13884285b9ac07c
14379d08ab2827a
1518414a9e8bb1c
hexb715289ae1f4

201301503435252 has 144 divisors (see below), whose sum is σ = 589237835764032. Its totient is φ = 57267577635840.

The previous prime is 201301503435229. The next prime is 201301503435313. The reversal of 201301503435252 is 252534305103102.

201301503435252 is a `hidden beast` number, since 2 + 0 + 1 + 301 + 5 + 0 + 343 + 5 + 2 + 5 + 2 = 666.

201301503435252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 34987578 + ... + 40332785.

It is an arithmetic number, because the mean of its divisors is an integer number (4091929415028).

Almost surely, 2201301503435252 is an apocalyptic number.

201301503435252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201301503435252 is an abundant number, since it is smaller than the sum of its proper divisors (387936332328780).

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

201301503435252 is a wasteful number, since it uses less digits than its factorization.

201301503435252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75320798 (or 75320793 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 201301503435252 its reverse (252534305103102), we get a palindrome (453835808538354).

The spelling of 201301503435252 in words is "two hundred one trillion, three hundred one billion, five hundred three million, four hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 397 561 612 748 794 1122 1191 1588 1683 2244 2382 3366 3573 4367 4764 6732 6749 7146 8734 13101 13498 14292 17468 20247 26202 26996 39303 40494 52404 60741 74239 78606 80988 121482 148478 157212 222717 242964 296956 445434 668151 890868 1336302 2672604 75320363 150640726 225961089 301281452 451922178 677883267 828523993 903844356 1280446171 1355766534 1657047986 2485571979 2560892342 2711533068 3314095972 3841338513 4971143958 5121784684 7456715937 7682677026 9942287916 11524015539 14084907881 14913431874 15365354052 23048031078 28169815762 29826863748 29902184111 42254723643 46096062156 56339631524 59804368222 84509447286 89706552333 119608736444 126764170929 169018894572 179413104666 253528341858 269119656999 328924025221 358826209332 507056683716 508337129887 538239313998 657848050442 986772075663 1016674259774 1076478627996 1315696100884 1525011389661 1973544151326 2033348519548 2960316226989 3050022779322 3947088302652 4575034168983 5591708428757 5920632453978 6100045558644 9150068337966 11183416857514 11841264907956 16775125286271 18300136675932 22366833715028 33550250572542 50325375858813 67100501145084 100650751717626 201301503435252