Search a number
-
+
121400305215 = 35719916273571
BaseRepresentation
bin111000100010000000…
…1011010011000111111
3102121100121002111010120
41301010001122120333
53442111434231330
6131434233510023
711525261365620
oct1610401323077
9377317074116
10121400305215
1147538342162
121b640872313
13b5a9341a37
145c392d7a47
153257daac10
hex1c4405a63f

121400305215 has 64 divisors (see below), whose sum is σ = 223304294400. Its totient is φ = 55169009280.

The previous prime is 121400305207. The next prime is 121400305223. The reversal of 121400305215 is 512503004121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121400305207) and next prime (121400305223).

It is not a de Polignac number, because 121400305215 - 23 = 121400305207 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 33994380 + ... + 33997950.

It is an arithmetic number, because the mean of its divisors is an integer number (3489129600).

Almost surely, 2121400305215 is an apocalyptic number.

121400305215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121400305215 is a deficient number, since it is larger than the sum of its proper divisors (101903989185).

121400305215 is a wasteful number, since it uses less digits than its factorization.

121400305215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 121400305215 its reverse (512503004121), we get a palindrome (633903309336).

The spelling of 121400305215 in words is "one hundred twenty-one billion, four hundred million, three hundred five thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 199 597 995 1393 1627 2985 3571 4179 4881 6965 8135 10713 11389 17855 20895 24405 24997 34167 53565 56945 74991 124985 170835 323773 374955 710629 971319 1618865 2131887 2266411 3553145 4856595 4974403 5810017 6799233 10659435 11332055 14923209 17430051 24872015 29050085 33996165 40670119 74616045 87150255 122010357 203350595 610051785 1156193383 3468580149 5780966915 8093353681 17342900745 24280061043 40466768405 121400305215