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213024420105 = 3572654744269
BaseRepresentation
bin1100011001100100111…
…1101011000100001001
3202100212001000210001020
43012121033223010021
511442233222420410
6241510112343053
721250641460200
oct3063117530411
9670761023036
10213024420105
1182385805862
1235351544a89
131711b791133
14a44bba6237
15581baeba70
hex31993eb109

213024420105 has 48 divisors (see below), whose sum is σ = 396555785280. Its totient is φ = 97365518208.

The previous prime is 213024420101. The next prime is 213024420109. The reversal of 213024420105 is 501024420312.

It is an interprime number because it is at equal distance from previous prime (213024420101) and next prime (213024420109).

It is not a de Polignac number, because 213024420105 - 22 = 213024420101 is a prime.

It is a super-2 number, since 2×2130244201052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213024420101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789911 + ... + 4834179.

It is an arithmetic number, because the mean of its divisors is an integer number (8261578860).

Almost surely, 2213024420105 is an apocalyptic number.

It is an amenable number.

213024420105 is a deficient number, since it is larger than the sum of its proper divisors (183531365175).

213024420105 is a wasteful number, since it uses less digits than its factorization.

213024420105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50838 (or 50831 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 213024420105 its reverse (501024420312), we get a palindrome (714048840417).

The spelling of 213024420105 in words is "two hundred thirteen billion, twenty-four million, four hundred twenty thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 6547 19641 32735 44269 45829 98205 132807 137487 221345 229145 309883 320803 664035 687435 929649 962409 1549415 1604015 2169181 4648245 4812045 6507543 10845905 32537715 289829143 869487429 1449145715 2028804001 4347437145 6086412003 10144020005 14201628007 30432060015 42604884021 71008140035 213024420105