Search a number
-
+
21113120301 = 37131737122953
BaseRepresentation
bin10011101010011100…
…001010011000101101
32000111102001122020120
4103222130022120231
5321214424322201
613411011235153
71345126363410
oct235234123055
960442048216
1021113120301
118a54895859
1241128a8ab9
131cb61a04c0
14104407bb77
15838844536
hex4ea70a62d

21113120301 has 64 divisors (see below), whose sum is σ = 37677040128. Its totient is φ = 10198130688.

The previous prime is 21113120291. The next prime is 21113120309. The reversal of 21113120301 is 10302131112.

It is a happy number.

It is not a de Polignac number, because 21113120301 - 217 = 21112989229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113120309) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 110241 + ... + 233193.

It is an arithmetic number, because the mean of its divisors is an integer number (588703752).

Almost surely, 221113120301 is an apocalyptic number.

21113120301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21113120301 is a deficient number, since it is larger than the sum of its proper divisors (16563919827).

21113120301 is a wasteful number, since it uses less digits than its factorization.

21113120301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123030.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21113120301 its reverse (10302131112), we get a palindrome (31415251413).

The spelling of 21113120301 in words is "twenty-one billion, one hundred thirteen million, one hundred twenty thousand, three hundred one".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 259 273 357 481 629 663 777 1443 1547 1887 3367 4403 4641 8177 10101 13209 24531 57239 122953 171717 368859 860671 1598389 2090201 2582013 4549261 4795167 6270603 11188723 13647783 14631407 27172613 31844827 33566169 43894221 59140393 77337437 81517839 95534481 177421179 190208291 232012311 413982751 541362059 570624873 1005386681 1241948253 1624086177 3016160043 7037706767 21113120301