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13122120110 = 2511417339857
BaseRepresentation
bin11000011100010001…
…11010100110101110
31020212111120202202112
430032020322212232
5203333230320420
610010032324022
7643115115641
oct141610724656
936774522675
1013122120110
115624105070
1226626a3612
13131178b918
148c6a77a58
1551c0258c5
hex30e23a9ae

13122120110 has 64 divisors (see below), whose sum is σ = 26757791424. Its totient is φ = 4591411200.

The previous prime is 13122120101. The next prime is 13122120181. The reversal of 13122120110 is 1102122131.

13122120110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 309302 + ... + 349158.

It is an arithmetic number, because the mean of its divisors is an integer number (418090491).

Almost surely, 213122120110 is an apocalyptic number.

13122120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122120110 is an abundant number, since it is smaller than the sum of its proper divisors (13635671314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122120110 is a wasteful number, since it uses less digits than its factorization.

13122120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39989.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 13122120110 its reverse (1102122131), we get a palindrome (14224242241).

The spelling of 13122120110 in words is "thirteen billion, one hundred twenty-two million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 41 55 73 82 110 146 205 365 410 451 730 803 902 1606 2255 2993 4015 4510 5986 8030 14965 29930 32923 39857 65846 79714 164615 199285 329230 398570 438427 876854 1634137 2192135 2909561 3268274 4384270 5819122 8170685 14547805 16341370 17975507 29095610 32005171 35951014 64010342 89877535 119292001 160025855 179755070 238584002 320051710 596460005 1192920010 1312212011 2624424022 6561060055 13122120110