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11134130130 = 2335596431087
BaseRepresentation
bin10100101111010010…
…10101011111010010
31001201221211102012000
422113221111133102
5140300314131010
65040455014430
7542625354534
oct122751253722
931657742160
1011134130130
1147a3a20842
1221a896a416
13108595aca6
14778a27854
154527367c0
hex297a557d2

11134130130 has 128 divisors (see below), whose sum is σ = 30269030400. Its totient is φ = 2911557312.

The previous prime is 11134130129. The next prime is 11134130141. The reversal of 11134130130 is 3103143111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10242447 + ... + 10243533.

It is an arithmetic number, because the mean of its divisors is an integer number (236476800).

Almost surely, 211134130130 is an apocalyptic number.

11134130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134515200).

11134130130 is an abundant number, since it is smaller than the sum of its proper divisors (19134900270).

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

11134130130 is a wasteful number, since it uses less digits than its factorization.

11134130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11134130130 its reverse (3103143111), we get a palindrome (14237273241).

The spelling of 11134130130 in words is "eleven billion, one hundred thirty-four million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 643 885 1062 1087 1286 1593 1770 1929 2174 2655 3186 3215 3261 3858 5310 5435 5787 6430 6522 7965 9645 9783 10870 11574 15930 16305 17361 19290 19566 28935 29349 32610 34722 37937 48915 57870 58698 64133 75874 86805 97830 113811 128266 146745 173610 189685 192399 227622 293490 320665 341433 379370 384798 569055 577197 641330 682866 698941 961995 1024299 1138110 1154394 1397882 1707165 1731591 1923990 2048598 2096823 2885985 3414330 3463182 3494705 4193646 5121495 5771970 6290469 6989410 8657955 10242990 10484115 12580938 17315910 18871407 20968230 31452345 37742814 41237519 62904690 82475038 94357035 123712557 188714070 206187595 247425114 371137671 412375190 618562785 742275342 1113413013 1237125570 1855688355 2226826026 3711376710 5567065065 11134130130