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13522120221414 = 2374765631043747
BaseRepresentation
bin1100010011000101110100…
…1011000010001011100110
31202212200221210210220202210
43010301131023002023212
53233021300234041124
644431550512544250
72563640513302350
oct304613513021346
952780853726683
1013522120221414
114343776386a12
121624816852086
1377119082baac
1434a68cd620d0
15186b1c244a29
hexc4c5d2c22e6

13522120221414 has 64 divisors (see below), whose sum is σ = 31570153906176. Its totient is φ = 3780681811104.

The previous prime is 13522120221377. The next prime is 13522120221437. The reversal of 13522120221414 is 41412202122531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12433489 + ... + 13477235.

It is an arithmetic number, because the mean of its divisors is an integer number (493283654784).

Almost surely, 213522120221414 is an apocalyptic number.

13522120221414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13522120221414 is an abundant number, since it is smaller than the sum of its proper divisors (18048033684762).

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

13522120221414 is a wasteful number, since it uses less digits than its factorization.

13522120221414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050369.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 13522120221414 its reverse (41412202122531), we get a palindrome (54934322343945).

The spelling of 13522120221414 in words is "thirteen trillion, five hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 6563 13126 19689 39378 45941 91882 137823 275646 308461 616922 925383 1043747 1850766 2087494 2159227 3131241 4318454 6262482 6477681 7306229 12955362 14612458 21918687 43837374 49056109 98112218 147168327 294336654 343392763 686785526 1030178289 2060356578 6850111561 13700223122 20550334683 41100669366 47950780927 95901561854 143852342781 287704685562 321955243367 643910486734 965865730101 1931731460202 2253686703569 4507373407138 6761060110707 13522120221414