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21040120125 = 32531710910093
BaseRepresentation
bin10011100110000101…
…101100000100111101
32000022022200211211100
4103212011230010331
5321042232321000
613355442443313
71343252033043
oct234605540475
960268624740
1021040120125
118a17665732
1240b2363539
131ca402122b
1410384b8393
15832224a00
hex4e616c13d

21040120125 has 96 divisors (see below), whose sum is σ = 40531851360. Its totient is φ = 10463385600.

The previous prime is 21040120111. The next prime is 21040120139. The reversal of 21040120125 is 52102104012.

It is an interprime number because it is at equal distance from previous prime (21040120111) and next prime (21040120139).

It can be written as a sum of positive squares in 16 ways, for example, as 9660137796 + 11379982329 = 98286^2 + 106677^2 .

It is not a de Polignac number, because 21040120125 - 25 = 21040120093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21040120098 and 21040120107.

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 95 ways as a sum of consecutive naturals, for example, 2079579 + ... + 2089671.

It is an arithmetic number, because the mean of its divisors is an integer number (422206785).

Almost surely, 221040120125 is an apocalyptic number.

21040120125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21040120125 is a deficient number, since it is larger than the sum of its proper divisors (19491731235).

21040120125 is a wasteful number, since it uses less digits than its factorization.

21040120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 21040120125 its reverse (52102104012), we get a palindrome (73142224137).

The spelling of 21040120125 in words is "twenty-one billion, forty million, one hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 109 125 153 225 255 327 375 425 545 765 981 1125 1275 1635 1853 2125 2725 3825 4905 5559 6375 8175 9265 10093 13625 16677 19125 24525 27795 30279 40875 46325 50465 83385 90837 122625 138975 151395 171581 231625 252325 416925 454185 514743 694875 756975 857905 1100137 1261625 1544229 2084625 2270925 2573715 3300411 3784875 4289525 5500685 7721145 9901233 11354625 12868575 16502055 18702329 21447625 27503425 38605725 49506165 56106987 64342875 82510275 93511645 137517125 168320961 193028625 247530825 280534935 412551375 467558225 841604805 1237654125 1402674675 2337791125 4208024025 7013373375 21040120125