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11200051434 = 231113233891459
BaseRepresentation
bin10100110111001001…
…10011100011101010
31001220112212120012210
422123210303203222
5140414203121214
65051211545550
7544355603115
oct123344634352
931815776183
1011200051434
114828156460
122206a5b2b6
1310964cc190
147836a757c
15458408b59
hex29b9338ea

11200051434 has 128 divisors (see below), whose sum is σ = 27549849600. Its totient is φ = 2986917120.

The previous prime is 11200051433. The next prime is 11200051477. The reversal of 11200051434 is 43415000211.

It is a self number, because there is not a number n which added to its sum of digits gives 11200051434.

It is not an unprimeable number, because it can be changed into a prime (11200051433) 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, 7675797 + ... + 7677255.

It is an arithmetic number, because the mean of its divisors is an integer number (215233200).

Almost surely, 211200051434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200051434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774924800).

11200051434 is an abundant number, since it is smaller than the sum of its proper divisors (16349798166).

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

11200051434 is a wasteful number, since it uses less digits than its factorization.

11200051434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11200051434 its reverse (43415000211), we get a palindrome (54615051645).

The spelling of 11200051434 in words is "eleven billion, two hundred million, fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 389 429 506 598 759 778 858 897 1167 1459 1518 1794 2334 2918 3289 4279 4377 5057 6578 8558 8754 8947 9867 10114 12837 15171 16049 17894 18967 19734 25674 26841 30342 32098 33557 37934 48147 53682 55627 56901 67114 96294 98417 100671 111254 113802 116311 166881 196834 201342 208637 232622 295251 333762 348933 369127 417274 436241 567551 590502 625911 697866 738254 872482 1107381 1135102 1251822 1279421 1308723 1702653 2214762 2558842 2617446 3405306 3838263 4798651 6243061 7378163 7676526 9597302 12486122 13053673 14395953 14756326 18729183 22134489 26107346 28791906 37458366 39161019 44268978 78322038 81159793 143590403 162319586 169697749 243479379 287180806 339395498 430771209 486958758 509093247 861542418 1018186494 1866675239 3733350478 5600025717 11200051434