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11201312133 = 32112343233491
BaseRepresentation
bin10100110111010011…
…00111010110000101
31001220122020121120100
422123221213112011
5140420013442013
65051254554313
7544402403454
oct123351472605
931818217510
1011201312133
114828937660
122207368999
131096850c5b
14783914b9b
154585a7473
hex29ba67585

11201312133 has 96 divisors (see below), whose sum is σ = 18965726208. Its totient is φ = 6302419200.

The previous prime is 11201312123. The next prime is 11201312149. The reversal of 11201312133 is 33121310211.

It is not a de Polignac number, because 11201312133 - 210 = 11201311109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201312123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22813018 + ... + 22813508.

It is an arithmetic number, because the mean of its divisors is an integer number (197559648).

Almost surely, 211201312133 is an apocalyptic number.

It is an amenable number.

11201312133 is a deficient number, since it is larger than the sum of its proper divisors (7764414075).

11201312133 is a wasteful number, since it uses less digits than its factorization.

11201312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 804 counting only the distinct ones).

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

Adding to 11201312133 its reverse (33121310211), we get a palindrome (44322622344).

The spelling of 11201312133 in words is "eleven billion, two hundred one million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 11 23 33 43 69 99 129 207 233 253 387 473 491 699 759 989 1419 1473 2097 2277 2563 2967 4257 4419 5359 5401 7689 8901 10019 10879 11293 16077 16203 21113 23067 30057 32637 33879 48231 48609 58949 63339 90171 97911 101637 110209 114403 124223 176847 190017 230437 232243 330627 343209 372669 485599 530541 691311 696729 991881 1029627 1118007 1258433 1456797 2073933 2090187 2534807 2631269 3775299 4370391 4919329 5341589 7604421 7893807 11325897 14757987 16024767 22813263 23681421 28943959 44273961 48074301 54112619 86831877 113144567 162337857 260495631 339433701 487013571 1018301103 1244590237 3733770711 11201312133