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2141524541212 = 2271761257286981
BaseRepresentation
bin11111001010011100110…
…011110011111100011100
321120201122112020110002121
4133022130303303330130
5240041320240304322
64315445223032324
7310501655153650
oct37123463637434
97521575213077
102141524541212
11756240857341
122a706029b6a4
13126c38c2ba54
147591676ca60
153aa8c994ec7
hex1f29ccf3f1c

2141524541212 has 96 divisors (see below), whose sum is σ = 4627288584576. Its totient is φ = 846338457600.

The previous prime is 2141524541089. The next prime is 2141524541213. The reversal of 2141524541212 is 2121454251412.

It is a super-2 number, since 2×21415245412122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141524541213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7318762 + ... + 7605742.

It is an arithmetic number, because the mean of its divisors is an integer number (48200922756).

Almost surely, 22141524541212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141524541212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313644292288).

2141524541212 is an abundant number, since it is smaller than the sum of its proper divisors (2485764043364).

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

2141524541212 is a wasteful number, since it uses less digits than its factorization.

2141524541212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287327 (or 287325 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

Adding to 2141524541212 its reverse (2121454251412), we get a palindrome (4262978792624).

The spelling of 2141524541212 in words is "two trillion, one hundred forty-one billion, five hundred twenty-four million, five hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 61 68 119 122 238 244 257 427 476 514 854 1028 1037 1708 1799 2074 3598 4148 4369 7196 7259 8738 14518 15677 17476 29036 30583 31354 61166 62708 109739 122332 219478 266509 286981 438956 533018 573962 1066036 1147924 1865563 2008867 3731126 4017734 4878677 7462252 8035468 9757354 17505841 19514708 34150739 35011682 68301478 70023364 73754117 122540887 136602956 147508234 245081774 295016468 297599297 490163548 516278819 595198594 1032557638 1190397188 1253819989 2065115276 2083195079 2507639978 4166390158 4499001137 5015279956 8332780316 8776739923 8998002274 17553479846 17996004548 31493007959 35106959692 62986015918 76483019329 125972031836 152966038658 305932077316 535381135303 1070762270606 2141524541212