[go: up one dir, main page]

Search a number
-
+
121143660 = 223511312191
BaseRepresentation
bin1110011100010…
…00000101101100
322102221201212020
413032020011230
5222003044120
620004310140
73000463341
oct716100554
9272851766
10121143660
1162423030
12346a2350
131c137651
14121367c8
15a97e640
hex738816c

121143660 has 144 divisors (see below), whose sum is σ = 384362496. Its totient is φ = 28272000.

The previous prime is 121143647. The next prime is 121143689. The reversal of 121143660 is 66341121.

It is a super-3 number, since 3×1211436603 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121143660.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634165 + ... + 634355.

It is an arithmetic number, because the mean of its divisors is an integer number (2669184).

Almost surely, 2121143660 is an apocalyptic number.

121143660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121143660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192181248).

121143660 is an abundant number, since it is smaller than the sum of its proper divisors (263218836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121143660 is a wasteful number, since it uses less digits than its factorization.

121143660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 121143660 is about 11006.5280629270. The cubic root of 121143660 is about 494.8044120659.

Adding to 121143660 its reverse (66341121), we get a palindrome (187484781).

The spelling of 121143660 in words is "one hundred twenty-one million, one hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 191 220 310 330 341 372 382 465 573 620 660 682 764 930 955 961 1023 1146 1364 1705 1860 1910 1922 2046 2101 2292 2865 2883 3410 3820 3844 4092 4202 4805 5115 5730 5766 5921 6303 6820 8404 9610 10230 10505 10571 11460 11532 11842 12606 14415 17763 19220 20460 21010 21142 23684 25212 28830 29605 31515 31713 35526 42020 42284 52855 57660 59210 63030 63426 65131 71052 88815 105710 118420 126060 126852 130262 158565 177630 183551 195393 211420 260524 317130 325655 355260 367102 390786 550653 634260 651310 734204 781572 917755 976965 1101306 1302620 1835510 1953930 2019061 2202612 2753265 3671020 3907860 4038122 5506530 6057183 8076244 10095305 11013060 12114366 20190610 24228732 30285915 40381220 60571830 121143660