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21155103125 = 5513241977
BaseRepresentation
bin10011101100111100…
…010100000110010101
32000121100001120211222
4103230330110012111
5321311201300000
613415111140125
71346146260332
oct235474240625
960540046758
1021155103125
118a76560102
124124974645
131cc1aac700
141049889989
1583c388a85
hex4ecf14195

21155103125 has 72 divisors (see below), whose sum is σ = 29361042648. Its totient is φ = 15225600000.

The previous prime is 21155103113. The next prime is 21155103143. The reversal of 21155103125 is 52130155112.

It can be written as a sum of positive squares in 36 ways, for example, as 3440291716 + 17714811409 = 58654^2 + 133097^2 .

It is not a de Polignac number, because 21155103125 - 26 = 21155103061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21155103094 and 21155103103.

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 71 ways as a sum of consecutive naturals, for example, 21652637 + ... + 21653613.

It is an arithmetic number, because the mean of its divisors is an integer number (407792259).

Almost surely, 221155103125 is an apocalyptic number.

21155103125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21155103125 is a deficient number, since it is larger than the sum of its proper divisors (8205939523).

21155103125 is an frugal number, since it uses more digits than its factorization.

21155103125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 21155103125 its reverse (52130155112), we get a palindrome (73285258237).

The spelling of 21155103125 in words is "twenty-one billion, one hundred fifty-five million, one hundred three thousand, one hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 169 205 325 533 625 845 977 1025 1625 2665 3125 4225 4885 5125 6929 8125 12701 13325 21125 24425 25625 34645 40057 40625 63505 66625 105625 122125 128125 165113 173225 200285 317525 333125 520741 528125 610625 825565 866125 1001425 1587625 1665625 2603705 3053125 4127825 4330625 5007125 6769633 7938125 13018525 20639125 21653125 25035625 33848165 39690625 65092625 103195625 125178125 169240825 325463125 515978125 846204125 1627315625 4231020625 21155103125