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12442300324421 = 113101647143053
BaseRepresentation
bin1011010100001111001011…
…1001000001101001000101
31122001110202022011121011112
42311003302321001221011
53112323312340340141
642243525221014405
72422632541516352
oct265036271015105
948043668147145
1012442300324421
113a67828188000
12148b499254405
136c33c483a196
143102d3a63629
151689bd2387eb
hexb50f2e41a45

12442300324421 has 32 divisors (see below), whose sum is σ = 13842555077376. Its totient is φ = 11181802632000.

The previous prime is 12442300324403. The next prime is 12442300324451.

It is a happy number.

12442300324421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12442300324421 - 26 = 12442300324357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442300324451) 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, 86905331 + ... + 87048383.

It is an arithmetic number, because the mean of its divisors is an integer number (432579846168).

Almost surely, 212442300324421 is an apocalyptic number.

12442300324421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12442300324421 is a deficient number, since it is larger than the sum of its proper divisors (1400254752955).

12442300324421 is a wasteful number, since it uses less digits than its factorization.

12442300324421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143834 (or 143812 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 12442300 and 324421, that added together give a palindrome (12766721).

The spelling of 12442300324421 in words is "twelve trillion, four hundred forty-two billion, three hundred million, three hundred twenty-four thousand, four hundred twenty-one".

Divisors: 1 11 101 121 647 1111 1331 7117 12221 65347 78287 134431 143053 718817 861157 1573583 7906987 14448353 17309413 86976857 92555291 158931883 190403543 1018108201 1748250713 9348084391 11199190211 19230757843 102828928301 123191092321 1131118211311 12442300324421