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241240252133205 = 325134051101796223
BaseRepresentation
bin110110110110100000011111…
…100010001010111101010101
31011122011100020221202102002200
4312312200133202022331111
5223104440014021230310
62213024124125155113
7101546014223513403
oct6666403742127525
91148140227672080
10241240252133205
116a9594642329a6
1223081b883bba99
13a47bb20502230
14438013a4a8473
151cd532c6849c0
hexdb681f88af55

241240252133205 has 48 divisors (see below), whose sum is σ = 450426303215616. Its totient is φ = 118735113340800.

The previous prime is 241240252133149. The next prime is 241240252133219. The reversal of 241240252133205 is 502331252042142.

241240252133205 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 402 + 5 + 213 + 32 + 0 + 5 = 666.

It is not a de Polignac number, because 241240252133205 - 27 = 241240252133077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 241240252133205.

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, 48528277 + ... + 53267946.

It is an arithmetic number, because the mean of its divisors is an integer number (9383881316992).

Almost surely, 2241240252133205 is an apocalyptic number.

It is an amenable number.

241240252133205 is a deficient number, since it is larger than the sum of its proper divisors (209186051082411).

241240252133205 is a wasteful number, since it uses less digits than its factorization.

241240252133205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101800298 (or 101800295 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 241240252133205 in words is "two hundred forty-one trillion, two hundred forty billion, two hundred fifty-two million, one hundred thirty-three thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 4051 12153 20255 36459 52663 60765 157989 182295 263315 473967 789945 2369835 101796223 305388669 508981115 916166007 1323350899 1526943345 3970052697 4580830035 6616754495 11910158091 19850263485 59550790455 412376499373 1237129498119 2061882496865 3711388494357 5360894491849 6185647490595 16082683475547 18556942471785 26804472459245 48248050426641 80413417377735 241240252133205