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21314142105597 = 3211225621763913
BaseRepresentation
bin1001101100010100101011…
…10111100110111111111101
32210110121112012200100200200
410312022111313212333331
510243202330334334342
6113155325352114113
74326616211431665
oct466122567467775
983417465610620
1021314142105597
116878305618500
1224829a7095939
13bb7bb82838a3
14539877b111a5
1526e66a60e94c
hex136295de6ffd

21314142105597 has 36 divisors (see below), whose sum is σ = 33841724794332. Its totient is φ = 12917140790400.

The previous prime is 21314142105589. The next prime is 21314142105623. The reversal of 21314142105597 is 79550124141312.

21314142105597 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 4 + 1 + 42 + 10 + 5 + 597 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1402966811961 + 19911175293636 = 1184469^2 + 4462194^2 .

It is not a de Polignac number, because 21314142105597 - 23 = 21314142105589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314142105547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27519313 + ... + 28283225.

Almost surely, 221314142105597 is an apocalyptic number.

It is an amenable number.

21314142105597 is a deficient number, since it is larger than the sum of its proper divisors (12527582688735).

21314142105597 is a wasteful number, since it uses less digits than its factorization.

21314142105597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789562 (or 789548 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 21314142105597 in words is "twenty-one trillion, three hundred fourteen billion, one hundred forty-two million, one hundred five thousand, five hundred ninety-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 25621 76863 230589 281831 763913 845493 2291739 2536479 3100141 6875217 8403043 9300423 25209129 27901269 75627387 92433473 277300419 831901257 19572214973 58716644919 176149934757 215294364703 645883094109 1937649282327 2368238011733 7104714035199 21314142105597