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21014616305 = 5109317121637
BaseRepresentation
bin10011100100100100…
…011001100011110001
32000020112201010011102
4103210210121203301
5321014220210210
613353132054145
71342522201634
oct234444314361
960215633142
1021014616305
118a042262a1
1240a5904355
131c9b961907
141034d59c1b
1582ed87ea5
hex4e49198f1

21014616305 has 16 divisors (see below), whose sum is σ = 25529383440. Its totient is φ = 16604773632.

The previous prime is 21014616299. The next prime is 21014616307. The reversal of 21014616305 is 50361641012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6803115361 + 14211500944 = 82481^2 + 119212^2 .

It is a cyclic number.

It is not a de Polignac number, because 21014616305 - 222 = 21010422001 is a prime.

It is a super-3 number, since 3×210146163053 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21014616307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111947 + ... + 233583.

It is an arithmetic number, because the mean of its divisors is an integer number (1595586465).

Almost surely, 221014616305 is an apocalyptic number.

It is an amenable number.

21014616305 is a deficient number, since it is larger than the sum of its proper divisors (4514767135).

21014616305 is a wasteful number, since it uses less digits than its factorization.

21014616305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122068.

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 21014616305 in words is "twenty-one billion, fourteen million, six hundred sixteen thousand, three hundred five".

Divisors: 1 5 109 317 545 1585 34553 121637 172765 608185 13258433 38558929 66292165 192794645 4202923261 21014616305