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121141040215 = 51383131181947
BaseRepresentation
bin111000011010010010…
…0011001010001010111
3102120200112020110102011
41300310210121101113
53441044101241330
6131352412525051
711515662565156
oct1606444312127
9376615213364
10121141040215
1147414a60568
121b589a80787
13b5677071b0
145c12ac959d
15324024682a
hex1c34919457

121141040215 has 64 divisors (see below), whose sum is σ = 160698650112. Its totient is φ = 87128870400.

The previous prime is 121141040183. The next prime is 121141040219. The reversal of 121141040215 is 512040141121.

It is a happy number.

It is not a de Polignac number, because 121141040215 - 25 = 121141040183 is a prime.

It is a super-3 number, since 3×1211410402153 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121141040219) 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, 127920372 + ... + 127921318.

It is an arithmetic number, because the mean of its divisors is an integer number (2510916408).

Almost surely, 2121141040215 is an apocalyptic number.

121141040215 is a deficient number, since it is larger than the sum of its proper divisors (39557609897).

121141040215 is a wasteful number, since it uses less digits than its factorization.

121141040215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360.

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 121141040215 its reverse (512040141121), we get a palindrome (633181181336).

The spelling of 121141040215 in words is "one hundred twenty-one billion, one hundred forty-one million, forty thousand, two hundred fifteen".

Divisors: 1 5 13 65 83 131 181 415 655 905 947 1079 1703 2353 4735 5395 8515 10873 11765 12311 15023 23711 54365 61555 75115 78601 118555 124057 141349 171407 195299 308243 393005 620285 706745 857035 976495 1021813 1541215 1612741 1968013 2228291 5109065 8063705 9840065 10296731 11141455 14226781 22454317 25584169 51483655 71133905 112271585 127920845 133857503 184948153 291906121 669287515 924740765 1459530605 1863708311 9318541555 24228208043 121141040215