Search a number
-
+
121241010219 = 3731910695801
BaseRepresentation
bin111000011101010000…
…1110000000000101011
3102120221111100110110220
41300322201300000223
53441300144311334
6131410343341123
711521315404000
oct1607241600053
9376844313426
10121241010219
11474664314aa
121b5b74517a3
13b58233a144
145c220ad8a7
153248de2449
hex1c3a87002b

121241010219 has 64 divisors (see below), whose sum is σ = 198660480000. Its totient is φ = 65561529600.

The previous prime is 121241010203. The next prime is 121241010221. The reversal of 121241010219 is 912010142121.

It is not a de Polignac number, because 121241010219 - 24 = 121241010203 is a prime.

It is a super-2 number, since 2×1212410102192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121241010269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20897119 + ... + 20902919.

It is an arithmetic number, because the mean of its divisors is an integer number (3104070000).

Almost surely, 2121241010219 is an apocalyptic number.

121241010219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

121241010219 is a deficient number, since it is larger than the sum of its proper divisors (77419469781).

121241010219 is a wasteful number, since it uses less digits than its factorization.

121241010219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 121241010219 in words is "one hundred twenty-one billion, two hundred forty-one million, ten thousand, two hundred nineteen".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 931 1029 1069 2793 3207 5801 6517 7483 17403 19551 20311 22449 40607 52381 60933 110219 121821 142177 157143 284249 330657 366667 426531 771533 852747 995239 1100001 1989743 2314599 2985717 5400731 5969229 6201269 6966673 16202193 18603807 20900019 37805117 43408883 113415351 117824111 130226649 303862181 353472333 824768777 911586543 2127035267 2474306331 5773381439 6381105801 17320144317 40413670073 121241010219