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65121712101050 = 25211661587930469
BaseRepresentation
bin11101100111010010101001…
…00001000101011010111010
322112120120112002021222222212
432303221110201011122322
532013423231244213200
6350300300155415122
716500613506455333
oct1663512441053272
9275516462258885
1065121712101050
1119827a65841630
1273790357544a2
132a44c49752357
141211c9c97b28a
1577de7271e035
hex3b3a548456ba

65121712101050 has 96 divisors (see below), whose sum is σ = 132364634371200. Its totient is φ = 23639999328000.

The previous prime is 65121712101041. The next prime is 65121712101059. The reversal of 65121712101050 is 5010121712156.

65121712101050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65121712101041) and next prime (65121712101059).

It is a super-2 number, since 2×651217121010502 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65121712100998 and 65121712101016.

It is not an unprimeable number, because it can be changed into a prime (65121712101059) by changing a digit.

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, 2137295216 + ... + 2137325684.

It is an arithmetic number, because the mean of its divisors is an integer number (1378798274700).

Almost surely, 265121712101050 is an apocalyptic number.

65121712101050 is an abundant number, since it is smaller than the sum of its proper divisors (67242922270150).

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

65121712101050 is a wasteful number, since it uses less digits than its factorization.

65121712101050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37032 (or 37027 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 32.

The spelling of 65121712101050 in words is "sixty-five trillion, one hundred twenty-one billion, seven hundred twelve million, one hundred one thousand, fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 661 1322 3305 5879 6610 7271 11758 14542 16525 29395 30469 33050 36355 58790 60938 64669 72710 129338 146975 152345 181775 293950 304690 323345 335159 363550 646690 670318 761725 1523450 1616725 1675795 3233450 3351590 3886019 7772038 8378975 16757950 19430095 20140009 38860190 40280018 42746209 85492418 97150475 100700045 179127251 194300950 201400090 213731045 221540099 358254502 427462090 443080198 503500225 895636255 1007000450 1068655225 1107700495 1791272510 1970399761 2137310450 2215400990 3940799522 4478181275 5538502475 8956362550 9851998805 11077004950 19703997610 49259994025 98519988050 118403112911 236806225822 592015564555 1184031129110 1302434242021 2604868484042 2960077822775 5920155645550 6512171210105 13024342420210 32560856050525 65121712101050