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23187821305 = 5112972719997
BaseRepresentation
bin10101100110000110…
…100001001011111001
32012211222222100222111
4111212012201023321
5334442040240210
614352523252321
71450421141365
oct254606411371
965758870874
1023187821305
119919a14390
1245b167a0a1
132256c7102c
14119d8202a5
1590aa6088a
hex5661a12f9

23187821305 has 32 divisors (see below), whose sum is σ = 31446455040. Its totient is φ = 16259147520.

The previous prime is 23187821299. The next prime is 23187821329. The reversal of 23187821305 is 50312878132.

It is a happy number.

It is not a de Polignac number, because 23187821305 - 213 = 23187813113 is a prime.

It is a super-2 number, since 2×231878213052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149567 + ... + 1169563.

It is an arithmetic number, because the mean of its divisors is an integer number (982701720).

Almost surely, 223187821305 is an apocalyptic number.

It is an amenable number.

23187821305 is a deficient number, since it is larger than the sum of its proper divisors (8258633735).

23187821305 is a wasteful number, since it uses less digits than its factorization.

23187821305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769.

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 23187821305 in words is "twenty-three billion, one hundred eighty-seven million, eight hundred twenty-one thousand, three hundred five".

Divisors: 1 5 11 29 55 145 319 727 1595 3635 7997 19997 21083 39985 99985 105415 219967 231913 579913 1099835 1159565 2899565 6379043 14537819 31895215 72689095 159916009 421596751 799580045 2107983755 4637564261 23187821305