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11135344242 = 23114143831153
BaseRepresentation
bin10100101111011011…
…11101111001110010
31001202001010002122010
422113231331321302
5140301122003432
65040541023350
7542641602321
oct122755757162
931661102563
1011135344242
1147a467aa40
1221a9254b56
131085c947b9
14778c620b8
154528c63cc
hex297b7de72

11135344242 has 128 divisors (see below), whose sum is σ = 25795832832. Its totient is φ = 3173990400.

The previous prime is 11135344237. The next prime is 11135344261. The reversal of 11135344242 is 24244353111.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9657138 + ... + 9658290.

It is an arithmetic number, because the mean of its divisors is an integer number (201529944).

Almost surely, 211135344242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11135344242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897916416).

11135344242 is an abundant number, since it is smaller than the sum of its proper divisors (14660488590).

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

11135344242 is a wasteful number, since it uses less digits than its factorization.

11135344242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336.

The product of its digits is 11520, while the sum is 30.

Adding to 11135344242 its reverse (24244353111), we get a palindrome (35379697353).

It can be divided in two parts, 111 and 35344242, that added together give a palindrome (35344353).

The spelling of 11135344242 in words is "eleven billion, one hundred thirty-five million, three hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 43 66 82 83 86 123 129 166 246 249 258 451 473 498 902 913 946 1153 1353 1419 1763 1826 2306 2706 2739 2838 3403 3459 3526 3569 5289 5478 6806 6918 7138 10209 10578 10707 12683 19393 20418 21414 25366 37433 38049 38786 39259 47273 49579 58179 74866 76098 78518 94546 95699 99158 112299 116358 117777 141819 146329 148737 191398 224598 235554 283638 287097 292658 297474 438987 520003 545369 574194 877974 1040006 1052689 1090738 1560009 1609619 1636107 2032739 2105378 3120018 3158067 3219238 3272214 3923659 4065478 4115057 4828857 6098217 6316134 7847318 8230114 9657714 11770977 12196434 12345171 22360129 23541954 24690342 43160249 44720258 45265627 67080387 86320498 90531254 129480747 134160774 135796881 168717337 258961494 271593762 337434674 506152011 1012304022 1855890707 3711781414 5567672121 11135344242