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11134403304030 = 23253118947210631
BaseRepresentation
bin1010001000000110111000…
…1001110101101001011110
31110102102211201011221111200
42202001232021311221132
52424411224221212110
635403024012500330
72226301615336626
oct242015611655136
943372751157450
1011134403304030
11360308a434586
1212b9b0917a6a6
13629c7b647716
142a6c9d779886
15144970daa6c0
hexa206e275a5e

11134403304030 has 96 divisors (see below), whose sum is σ = 29885020858368. Its totient is φ = 2873229105600.

The previous prime is 11134403303987. The next prime is 11134403304119. The reversal of 11134403304030 is 3040330443111.

11134403304030 is a `hidden beast` number, since 1 + 11 + 344 + 0 + 3 + 304 + 0 + 3 + 0 = 666.

It is a super-2 number, since 2×111344033040302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11134403303985 and 11134403304003.

It is a congruent number.

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, 52756815 + ... + 52967445.

It is an arithmetic number, because the mean of its divisors is an integer number (311302300608).

Almost surely, 211134403304030 is an apocalyptic number.

11134403304030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11134403304030 is an abundant number, since it is smaller than the sum of its proper divisors (18750617554338).

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

11134403304030 is a wasteful number, since it uses less digits than its factorization.

11134403304030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229622 (or 229619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11134403304030 its reverse (3040330443111), we get a palindrome (14174733747141).

The spelling of 11134403304030 in words is "eleven trillion, one hundred thirty-four billion, four hundred three million, three hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 18947 37894 56841 94735 113682 170523 189470 210631 284205 341046 421262 568410 587357 631893 852615 1053155 1174714 1263786 1705230 1762071 1895679 2106310 2936785 3159465 3524142 3791358 5286213 5873570 6318930 6529561 8810355 9478395 10572426 13059122 17620710 18956790 19588683 26431065 32647805 39177366 52862130 58766049 65295610 97943415 117532098 195886830 293830245 587660490 3990825557 7981651114 11972476671 19954127785 23944953342 35917430013 39908255570 59862383355 71834860026 119724766710 123715592267 179587150065 247431184534 359174300130 371146776801 618577961335 742293553602 1113440330403 1237155922670 1855733884005 2226880660806 3711467768010 5567201652015 11134403304030