Search a number
-
+
121355330514 = 2311231134431597
BaseRepresentation
bin111000100000101010…
…1110110001111010010
3102121020110110112102220
41301001111312033102
53442013431034024
6131425545521510
711524204201215
oct1610125661722
9377213415386
10121355330514
1147514a13a90
121b6297a3296
13b59cc25aa2
145c3334b77c
153253e74e79
hex1c415763d2

121355330514 has 128 divisors (see below), whose sum is σ = 279536375808. Its totient is φ = 34763688960.

The previous prime is 121355330513. The next prime is 121355330533. The reversal of 121355330514 is 415033553121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (121355330513) 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, 75988764 + ... + 75990360.

It is an arithmetic number, because the mean of its divisors is an integer number (2183877936).

Almost surely, 2121355330514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121355330514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139768187904).

121355330514 is an abundant number, since it is smaller than the sum of its proper divisors (158181045294).

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

121355330514 is a wasteful number, since it uses less digits than its factorization.

121355330514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 121355330514 its reverse (415033553121), we get a palindrome (536388883635).

The spelling of 121355330514 in words is "one hundred twenty-one billion, three hundred fifty-five million, three hundred thirty thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 113 138 226 253 339 443 506 678 759 886 1243 1329 1518 1597 2486 2599 2658 3194 3729 4791 4873 5198 7458 7797 9582 9746 10189 14619 15594 17567 20378 28589 29238 30567 35134 36731 50059 52701 57178 61134 73462 85767 100118 105402 110193 112079 150177 171534 180461 220386 224158 300354 336237 360922 404041 541383 550649 672474 707471 808082 1082766 1101298 1151357 1212123 1414942 1651947 1985071 2122413 2302714 2424246 3303894 3454071 3970142 4150603 4244826 5955213 6908142 7782181 8301206 11910426 12451809 12664927 15564362 16271833 23346543 24903618 25329854 32543666 37994781 45656633 46693086 48815499 75989562 79944223 91313266 97630998 136969899 159888446 178990163 239832669 273939798 357980326 479665338 536970489 879386453 1073940978 1758772906 1838717129 2638159359 3677434258 5276318718 5516151387 11032302774 20225888419 40451776838 60677665257 121355330514