Search a number
-
+
121141240143 = 372112315432111
BaseRepresentation
bin111000011010010010…
…1001010000101001111
3102120200112121121122220
41300310211022011033
53441044124141033
6131352421110423
711515664360100
oct1606445120517
9376615547586
10121141240143
11474150877a0
121b589b58413
13b5677771b1
145c12b3c3a7
153240285bb3
hex1c3494a14f

121141240143 has 96 divisors (see below), whose sum is σ = 214125576192. Its totient is φ = 60126897600.

The previous prime is 121141240133. The next prime is 121141240163. The reversal of 121141240143 is 341042141121.

It is a happy number.

It is not a de Polignac number, because 121141240143 - 213 = 121141231951 is a prime.

It is a super-3 number, since 3×1211412401433 (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 (121141240133) 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 95 ways as a sum of consecutive naturals, for example, 57384658 + ... + 57386768.

It is an arithmetic number, because the mean of its divisors is an integer number (2230474752).

Almost surely, 2121141240143 is an apocalyptic number.

121141240143 is a deficient number, since it is larger than the sum of its proper divisors (92984336049).

121141240143 is a wasteful number, since it uses less digits than its factorization.

121141240143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121141240143 its reverse (341042141121), we get a palindrome (462183381264).

The spelling of 121141240143 in words is "one hundred twenty-one billion, one hundred forty-one million, two hundred forty thousand, one hundred forty-three".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1543 1617 1771 2111 3381 4629 5313 6333 10801 12397 14777 16973 23221 32403 35489 37191 44331 48553 50919 69663 75607 103439 106467 118811 145659 162547 226821 248423 310317 339871 356433 390379 487641 534083 745269 831677 1019613 1137829 1171137 1602249 1738961 2379097 2495031 2732653 3257273 3413487 3738581 5216883 7137291 8197959 9771819 11215743 19128571 22800911 26170067 35830003 57385713 68402733 74917279 78510201 107490009 159606377 224751837 250810021 478819131 524420953 752430063 824090069 1573262859 1755670147 2472270207 3670946671 5267010441 5768630483 11012840013 17305891449 40380413381 121141240143